Prof. Dr. Kashif Ali
Tenured Professor, Mathematics
Area of Interest: Graph Theory, Soliton Theory
Tel # (Off): 111-001-007   (896)
HEC approved PhD Supervisor

I did my PhD in Mathematics from a prestigious Institute of Mathematics: Abdus Salam School of Mathematical Sciences (ASSMS), Government College University, Lahore in 2008. I completed my PhD in Mathematics with research on Graph Theory under the supervision of Prof. Dr. Edy Tri Baskoro. My areas of research in graph Theory are graph Ramsey numbers, metric dimensions, graph labelings and molecular properties of chemical graphs. I am also working on the analytical and soliton solutions of partial differential equations.

Research Supervision

  • I am HEC approved supervisor for PhD-level students in the field of Mathematics.
  • PhD Theses Supervisions: Five (05) Completed,  Five (05) registered
  • MS Theses Supervisions: Thirty (30) Completed; Four (04) registered

 Approved Projects:

  1. On H-Supermagic Covering of Different Families of Graph has been approved and received the grant of Rs. PK =947,189/- via   no. 20-3735/R&D/HEC/14/698, from Higher Education Commission of Pakistan NRPU 2014. (completed)
  2. Analytical Study of Optical Solitons with Fractional Nonlinear Schrodinger Equation, has been approved and received the grant of Rs. PK =1.463607 Million  from Higher Education Commission of Pakistan NRPU 2016. (Completed)
  3. The Study on Indices, Counting Polynomials and Labelings of Graphs; has been approved and received the grant of Rs. PK =905650/-  from Higher Education Commission of Pakistan NRPU 2016.      (Completed)

International Presentations:

  1. 50th Southeastern International Conference on Combinatorics, Graph Theory & Computing; Florida Atlantic University in Boca Raton, Florida, USA, March 4-8, 2019.
  2. 26th "3in1" workshop on graphs, AGH University of Science and Technology, Krakow, Poland, October 26-28, 2017. 
  3. Seminar on Topological Indices of Line Graph of Subdivided Graphs, Department of Mathematics,  University of United Emirates, Al-Ain, UAE. November 24, 2017.
  4. CIMPA-LAOS Research School, Graph Labelings, graph decompositions and Hamiltonian cycles, National University of Laos, Laos, December 08-19, 2014.
  5. Second meeting of the research group of GTA and Priority Research Centre for Computer-Assisted Research Mathematics and its Applications (CARMA), at The University  of Newcastle, Australia, June 01-02, 2011.
  6. 22nd British Combinatorial Conference, held at University of St Andrews, Scotland, UK on July 05-10, 2009.     
  7. International Conference on Graph Theory and Information Security, February 10-14, 2007 ITB, Bandung, Indonesia.


1. Kashif Ali (2009), "On Ramsey numbers of path verus wheel-like graphs", published by: Lambert Academic Publishing, Germany   
Journal Papers:
1. N. Aziz, K. Ali, A. R. Seadawy, A. Bashir, Syed Tahir Raza Rizvi (2023), "Discussion on couple of nonlinear models for lie symmetry analysis, self adjointees, conservation laws and soliton solutions", Optical and Quantum Electronics, pp: 201, Vol: 55, Impact Factor: 2.794   
2. Muhammad Imran,Shehnaz Akhter, Farhana Yasmeen, Kashif Ali (2023), "The Weighted Mostar Invariants of Phthalocyanines, Triazine-Based and Nanostar Dendrimers", Polycyclic Aromatic Compounds, pp: 772-789, Vol: 43, Issue: 1, Impact Factor: 2.195   
3. Farhana Yasmeen, Kashif Ali, Muhammad Shahid (2022), "Entropy Measures of Some Nanotubes", Polycyclic Aromatic Compounds, pp: 6592-6604, Vol: 42, Issue: 09, Impact Factor: 2.195   
4. Aly R. Seadawy , Sarfaraz Ahmed , Syed T.R. Rizvi , Kashif Ali (2022), "Lumps, breathers, interactions and rogue wave solutions for a stochastic gene evolution in double chain deoxyribonucleic acid system", Chaos, Solitons and Fractals, Vol: 161, Issue: 112307, Impact Factor: 9.922   
5. Aly R. Seadawy, Syed T.R. Rizvi, B. Mustafa, K. Ali, Saeed Althubiti, (2022), "Chirped Periodic Waves for an Cubic-Quintic Nonlinear Schrödinger Equation with Self Steepening and Higher Order Nonlinearities", Chaos, Solitons & Fractals, Vol: 156   
6. Aly R. Seadawy, S. T. R. Rizvi, I. Ali, M. Younis, Kashif Ali, M. M. Makhlouf, A. Althobaiti, (2021), "Conservation laws, optical molecules, modulation instability and Painleve analysis for Chen-Lee-Liu model, , 53 (2021) 172. ", Optical and Quantum electronics, Vol: 53    (External URL)
7. S. T. R. Rizvi, A. R. Seadawy, M. Younis, Kashif Ali, H. Iqbal, (2021), " Lump-soliton, lump-multi soliton and lump periodic solutions of a generalized hyper elastic rod equation, , 35 (11) (2021) 2150188.", Modern Physics Letters B, Vol: 35, Issue: 11   
8. F. Yasmeen, S. Akhter, Kashif Ali, S. T. R. Rizvi, (2021), " Edge Mostar indices of Cacti graph with fixed cycles ", Frontiers in Chemistry    (External URL)
9. S. T. R. Rizvi, A. R. Seadawy, S. Ahmed, M. Younis, Kashif Ali (2021), " Study of multiple lump and rogue waves to the generalized unstable space time fractional nonlinear Schrödinger equation, 151 (2021) 111251. Publisher: Elsevier Country: England ", Chaos; Solitons and Fractals   
10. S. T. R. Rizvi, A. R. Seadawy, M. Younis, S. Ahmad, Kashif Ali (2021), " Weierstrass and Jacobi elliptic functions with some new dromions to Maccari system, 35 (25) (2021) 2150257.", Int. J. Mod. Phy. B,, Vol: 25, Issue: 35   
11. Dongming Zhao,Yu-Ming Chu, M. K. Siddiqui, Kashif Ali, M. Nasir (2021), "On Reverse Degree Based Topological Indices of Polycyclic Metal Organic Network, , M. Tayyab Younas, M. Cancan, Published March 04, 2021 ", Polycyclic Aromatic Compounds,   
12. S. T. R. Rizvi, I. Ali*, Kashif Ali, G. Mustafa (2020), "Conserved densities and fluxes for nonlinear Schrödinger equations using scaling invariance approach, 34 (26) (2020) 2050275. ", Modern Physics Letters B   
13. S. T. R. Rizvi, U. Safdar**, I. Bibi**, Kashif Ali, Q. Zhou (2020), " Solitons of The Complex Nonlinear Schrödinger Equation with Parity Time Symmetry Linear-Nonlinear Lattice Potentials, 72 (2) (2020) 111. ", Romanian Reports in Physics   
14. I. Ali, K. Ali, S. T. R. Rizvi (2020), " Conserved quantities for compressional dispersive Alfv´en and soliton dynamics with non-local nonlinearity", Physica Scripta, pp: 045209., Vol: 95, Issue: 4, Impact Factor: 2.151    (External URL)
15. S. T. R. Rizvi, K. Ali, M. Ahmad (2020), " Optical solitons for Biswas-Milovic equation by new extended auxiliary equation method", Optik, pp: 164181, Vol: 204, Impact Factor: 1.914    (External URL)
16. X. Zuo, Jia. B. Liu, H. Iqbal, K. Ali, S. T. R. Rizvi (2020), "Topological Indices of Certain Transformed Chemical Structures", Journal of Chemistry, pp: 3045646 (7 pages), Impact Factor: 1.727    (External URL)
17. S. T. R. Rizvi, I. Afzal, K. Ali (2019), " Chirped optical solitons for Triki-Biswas equation ", Modern Physics Letters B, pp: 1950264 (12 pages), Vol: 33, Issue: 22, Impact Factor: .731    (External URL)
18. H. Iqbal, M. O. Ahmad, K. Ali, S. T. R. Rizvi (2019), "Computing topological descriptors for the molecular structure of anticancer drug", International Journal of Advanced and Applied Sciences, pp: 25-30, Vol: 9, Issue: 6, Impact Factor: ISI   
19. B. Nawaz, K. Ali, S. O. Abbas, S. T. R. Rizvi, Q. Zhou (2019), "Optical solitons for non-Kerr law nonlinear Schrodinger equation with third and fourth order dispersion ", Chinese Journal of Physics, pp: 133-140, Vol: 60, Impact Factor: 2.544    (External URL)
20. S. T. R. Rizvi, K. Ali, H. Hanif (2019), " Optical solitons in dual core fibers under various nonlinearities, , 33 (17) (2019) Publisher: World Scientific Publ Co Pte Ltd. Country: Singapore ", Modern Physics Letters B, pp: 1950189 (9 pages), Vol: 33, Issue: 17, Impact Factor: 0.731    (External URL)
21. S. T. R. Rizvi, I. Afzal, K. Ali, M. Younis (2019), " Stationary Solutions for Nonlinear Schrödinger Equations by Lie Group Analysis ", Acta Physica Polonica A, pp: 187-189, Vol: 136, Issue: 1, Impact Factor: 0.545    (External URL)
22. R. Ashraf, M.O. Ahmad, M. Younis, K. U. Tariq, K. Ali, S. T. R. Rizvi, (2018), " Dipole and combo solitons in DWDM systems, 158 (2018) 1073-1079", Optik,   
23. S. T. R. Rizvi,K. Ali, U. Akram, M. Younis, (2018), " Analytical study of solitons for Lakshmanan-Porsezian-Daniel model with parabolic law nonlinearity, 168 (2018) 27-33.", Optik   
24. B. Nawaz*, S. T. R. Rizvi, K. Ali, M. Younis, (2018), " Optical soliton for perturbed nonlinear fractional Schrödinger equation by extended trial function method, 50: 204 (2018).", Optical and Quantum electronics   
25. Kashif Ali, S. T. R. Rizvi, A. Khalil, M. Younis, (2018), " Chirped and dipole soliton in nonlinear negative-index materials, , 172 (2018) 657-661. ", Optik   
26. K. Ali, S. T. R. Rizvi, B. Nawaz*, M. Younis, (2018), " Optical solitons for paraxial wave equation in Kerr media, Modern Physics Letters B, 33 (3) (2019)1950020.", Modern Physics Letters B   
27. Kashif Ali, S. T. R. Rizvi, N. Iqbal, A. Gulraiz (2018), "Super edge-manginess of stars like graphs", ARS Combinatoria , pp: 405-417, Vol: 136, Issue: 1, Impact Factor: 0.268   
28. Kashif Ali, S.T. R. Rizvi, S. Ahmad, S. Bashir, M. Younis (2017), "Bell and kink type soliton solutions in birefringent nano-fibers", Optik, pp: 327-333, Vol: 142, Impact Factor: 0.742   
29. Rizvi, Syed Tahir Raza; Ali, Kashif; Hussain, Muhammad (2017), "Cycle-supermagic labelings of the disjoint union of graphs", Utilitas Mathematica, pp: 215-226, Vol: 104, Impact Factor: 0.31   
30. Kashif Ali, S. T. R. Rizvi,S. Bashir, M. Younis, R. Ashraf, M. O. Ahmad (2017), "Exact Soliton of (2+1)-dimensional fractional Schrodinger equation", Superlattices and Microsturctures, pp: 234-239, Vol: 107, Impact Factor: 2.123   
31. Kashif ALi, S. T. R. Rizvi, S. Basheer, S. Ahmad (2017), "Jacobian elliptic periodic traveling wave solutions for Biswas-Milovic equation", Optik, pp: 582-587, Vol: 131, Impact Factor: 0.742   
32. Kashif Ali, S. T. R. Rizvi (2017), "Jacobian elliptic periodic traveling wave solutions in the negative-index materials", Nonlinear Dynamics, pp: 1967-1972, Vol: 87, Issue: 3, Impact Factor: 3.464   
33. Syed Tahir Raza Rizvi, S. Saleem, Kashif Ali, M. Younis (2017), "New Thirring optical solitons with vector-coupled Schrödinger equations in birefringent fibers", WAVES IN RANDOM AND COMPLEX MEDIA, pp: 359-362, Vol: 27, Issue: 2, Impact Factor: 1.447   
34. Kashif Ali, Khalid, Madiha; Rizvi, Syed Tahir Raza (2017), "Note on cycle-(super)magic labelings of disconnected graphs", Utilitas Mathematica, pp: 315-320, Vol: 104, Impact Factor: 0.31   
35. Syed Tahir Raza Rizvi, K. Ali, M. Salman, B. Nawaz, M. Younis (2017), "Solitary wave solutions for quintic complex Ginzburg-Landau model Optik", Optik, pp: 59-62, Vol: 149, Impact Factor: 0.835   
36. Kashif Ali, S. T. R. Rizvi, A. Sardar, M. Younis, A. Bekir (2017), "Symbolic computation and abundant traveling wave solutions to KdV-mKdV equation", Pramana Journal of Physics, Vol: 88, Issue: 6, Impact Factor: 0.692    
37. Kashif Ali, S. T. R. Rizvi, A. Semanicova Fenovcikova (2016), "C4-Supermagic Labelings of Disjoint Union of Prisms", Mathematical Reports, pp: 315-320, Vol: 2016, Issue: 18(68), Impact Factor: 0.118   
38. Kashif Ali, S. T. R. Rizvi, A. Sardar, M. Younis, Q. Zhou, E. Zerrad, A. Biwas, A. Braway, (2016), "Dispersive Optical Solitons in Nanofibers with Schrödinger-Hirota Equation", Journal of Nanoelectronics and Optoelectronics, pp: 382-387, Vol: 11, Impact Factor: 0.675   
39. Kashif Ali, S.T. R. Rizvi, I. Ali, M. Younis (2016), "Saturation of the nonlinear refractive index for optical solitons in two-core", Optik, pp: 5328- 5333, Vol: 127, Impact Factor: 0.742   
40. Kashif Ali, S. T. R. Rizvi, A. Sardar, S. M. Husnine, M. Younis (2015), "Multiple traveling wave solutions for electrical transmission, line model", Nonlinear Dynamics, pp: 1317–1324, Vol: 82, Impact Factor: 3.464   
41. Kashif Ali, S. T. R. Rizvi, M. Khalid, M. Miller, J. Ryan (2015), "On cycle-supermagicness of subdivided graphs", Bull. Aust. Math. Soc., , pp: 11-18, Vol: 92, Issue: 2015, Impact Factor: 0.39   
42. Kashif Ali, S. T. R. Rizvi, A. Gulraze, N. Iqbal (2014), "Super edge-magicness of stars like graphs", ARS Combonatoria, Vol: Accepted, Impact Factor: 0.2   
43. Kashif Ali, M. Hussain, A. Razzaq (2013), "Super edge-magic total labeling of a tree", Utilitas Mathematica, pp: 355-364 , Vol: 91, Impact Factor: 0.2   
44. M. Javaid, A. A. Bhatti, M. Hussain, Kashif Ali (2013), "Super edge-magic total labeling on forest of extended w-trees ", Utilitas Mathematica, pp: 155-162, Vol: 91, Impact Factor: 0.2   
45. Kashif Ali, Edy Tri Baskoro, M. Hussain (2012), "On super antimagic total labeling of Harary graphs", Ars Combinatoria, pp: 225-233, Vol: 104, Impact Factor: 0.4   
46. Kashif Ali, M. Javaid, M. Hussain, H. Shaker (2012), "On super edge-magic labeling on subdivision of trees ", Utilitas Mathematica, pp: 169-177, Vol: 89 , Impact Factor: 0.137   
47. Kashif Ali, M. Javaid, M. Hussain, H. Shaker (2012), "Super edge-magic total labeling of subdivided stars", ARS Combinatoria, Vol: Accepted, Impact Factor: 0.4   
48. Kashif Ali, A. Ahmad, M. Baca, P. Kovar and A. Fenovcikova (2012), "Vertex antimagic labelings of regular graphs", Acta Mathematica Sinica - English Series, pp: 1865-1847, Vol: 28 , Issue: 9, Impact Factor: 0.47   
49. Kashif Ali, M. Javaid, M. Hussain, K.H. Dar (2011), "Super edge-magic total labelings on w trees", Utilitas Mathematica, pp: 183-191, Vol: 86, Impact Factor: 0.137   
50. Kashif Ali, Edy Tri Baskoro, M. Hussain (2010), "On (a,d)-vertex antimagic total labelings of Harary graphs", Utilitas Mathematica, pp: 73-80, Vol: 83, Impact Factor: 0.137   
51. Kashif Ali, M. T. Rahim, I. Javaid, (2010), "On super antimagic total labeling of some families of graphs", ARS Combinatoria, pp: 225-234, Vol: 95, Impact Factor: 0.4   
52. Kashif Ali, Edy Tri Baskoro, M. Hussain, A. Q. Baig (2009), "On the Ramsey number for a linear forest versus a cocktail party graph", Journal of Combinatorial Mathematics and Combinatorial Computing, pp: 173-177., Vol: 71   
53. Kashif Ali, Edy Tri Baskoro, Ioan Tomescu (2009), "On the Ramsey number for paths and beaded wheels", Journal of Prime Research in Mathematics, pp: 133-138, Vol: 5   
54. Kashif Ali, Edy Tri Baskoro (2008), "On Ramsey number of combination of paths and Jahangirs", Journal of Combinatorial Mathematics and Combinatorial Computing, pp: 113-119, Vol: 65   
55. Kashif Ali, Edy Tri Baskoro, Ioan Tomescu (2008), "On the Ramsey numbers for paths and generalized Jahangir graphs, Tome 51(99), No. 3, 2008, pp.", Bull. Math. Soc. Sci, Math, Roumanie, pp: 177–182., Vol: 51(99), Issue: 3, Impact Factor: 0.5   
56. Kashif Ali, Imran Javaid , M.T. Rahim (2007), "Families of regular graphs with constant metric dimension", Utilitas Mathematica, pp: 21-34., Vol: 75, Impact Factor: 0.137   
57. Kashif Ali, Surahmat, (2006), "A cycle or Jahangir Ramsey unsaturated graphs", Journal of Prime Research in Mathematics, pp: 187-193, Vol: 2   


Post Doctorate Fellowship
The University of Newcastle, Newcastle, Australia.
Dec 2010 to Nov 2011
PhD (Mathematics)
Abdus Salam School of Mathematics, GC University, Lahore, Pakistan
Jan 2004 to Jun 2008


Tenured Professor
COMSATS University Islamabad Lahore
Feb 2020 to Date
Associate Professor
COMSATS University Islamabad, Lahore Campus
Dec 2014 to Feb 2020
Assistant Professor
COMSATS Institute of Information Technology (CIIT), Lahore
Jul 2008 to Dec 2014
COMSATS Institute of Information Technology(CIIT), Lahore
Jan 2008 to Jun 2008

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