Yue RenThis email address is being protected from spambots. You need JavaScript enabled to view it.

College of General Education, Heilongjiang Polytechnic, harbin, Heilongjiang, 150000, China

1. [1] M. Inc, H. Rezazadeh, J. Vahidi, M. Eslami, M. A. Akinlar, M. N. Ali, and Y.-M. Chu, (2020) “New solitary wave solutions for the conformable Klein-Gordon equation with quantic nonlinearity" Aims Math 5(6): 6972–6984.
2. [2] D. Kumar and G. C. Paul, (2021) “Solitary and periodic wave solutions to the family of nonlinear conformable fractional Boussinesq-like equations" Mathematical Methods in the Applied Sciences 44(4): 3138–3158.
3. [3] N. H. M. Shahen, M. H. Bashar, and M. S. Ali, (2020) “Dynamical analysis of long-wave phenomena for the nonlinear conformable space-time fractional (2+ 1)- dimensional AKNS equation in water wave mechanics" Heliyon 6(10):
4. [4] D. Kumar, G. C. Paul, A. R. Seadawy, and M. T. Darvishi, (2022) “A variety of novel closed-form soliton solutions to the family of Boussinesq-like equations with different types" Journal of Ocean Engineering and Science 7(6): 543–554.
5. [5] N. Raza, A. R. Seadawy, S. Arshed, and M. H. Rafiq, (2022) “A variety of soliton solutions for the MikhailovNovikov-Wang dynamical equation via three analytical methods" Journal of Geometry and Physics 176: 104515.
6. [6] H. Rezazadeh, (2018) “New solitons solutions of the complex Ginzburg-Landau equation with Kerr law nonlinearity" Optik 167: 218–227.
7. [7] R. Saleh, S. M. Mabrouk, and A. M. Wazwaz, (2021) “The singular manifold method for a class of fractionalorder diffusion equations" Waves in Random and Complex Media: 1–12.
8. [8] H. M. Baskonus and H. Bulut, (2016) “Exponential prototype structures for (2+ 1)-dimensional Boiti-LeonPempinelli systems in mathematical physics" Waves in Random and Complex Media 26(2): 189–196.
9. [9] M. S. M. Shehata, H. Rezazadeh, E. H. M. Zahran, E. Tala-Tebue, and A. Bekir, (2019) “New optical soliton solutions of the perturbed Fokas-Lenells equation" Communications in Theoretical Physics 71(11): 1275.
10. [10] K. U. Tariq, A. R. Seadawy, and M. Younis, (2018) “Explicit, periodic and dispersive optical soliton solutions to the generalized nonlinear Schrödinger dynamical equation with higher order dispersion and cubic-quintic nonlinear terms" Optical and Quantum Electronics 50: 1–19.
11. [11] R. A. Attia, D. Lu, and M. M. Khater, (2018) “Structure of new solitary solutions for the Schwarzian Korteweg De Vries equation and (2+ 1)-Ablowitz-Kaup-Newell-Segur equation" Phys. J 1(3): 234–254.
12. [12] M. K. Elboree, (2015) “Derivation of soliton solutions to nonlinear evolution equations using He’s variational principle" Applied Mathematical Modelling 39(14): 4196–4201.
13. [13] A. Biswas, M. O. Al-Amr, H. Rezazadeh, M. Mirzazadeh, M. Eslami, Q. Zhou, S. P. Moshokoa, and M. Belic, (2018) “Resonant optical solitons with dual-power law nonlinearity and fractional temporal evolution" Optik 165: 233–239.
14. [14] R. Cimpoiasu, (2020) “Multiple invariant solutions of the 3 D potential Yu–Toda–Sasa–Fukuyama equation via symmetry technique" International Journal of Modern Physics B 34(20): 2050188.
15. [15] B. Ghanbari, K. S. Nisar, and M. Aldhaifallah, (2020) “Abundant solitary wave solutions to an extended nonlinear Schrödinger’s equation with conformable derivative using an efficient integration method" Advances in Difference Equations 2020(1): 1–25.
16. [16] M. Eslami and H. Rezazadeh, (2016) “The first integral method for Wu–Zhang system with conformable timefractional derivative" Calcolo 53(3): 475–485.
17. [17] K. A. Muhamad, T. Tanriverdi, A. A. Mahmud, and H. M. Baskonus, (2023) “Interaction characteristics of the Riemann wave propagation in the (2+ 1)-dimensional generalized breaking soliton system" International Journal of Computer Mathematics 100(6): 1340–1355.
18. [18] H. F. Ismael, H. M. Baskonus, H. Bulut, and W. Gao, (2023) “Instability modulation and novel optical soliton solutions to the Gerdjikov–Ivanov equation with Mfractional" Optical and Quantum Electronics 55(4): 303.
19. [19] N. Raza, F. Salman, A. R. Butt, and M. L. Gandarias, (2023) “Lie symmetry analysis, soliton solutions and qualitative analysis concerning to the generalized q-deformed Sinh-Gordon equation" Communications in Nonlinear Science and Numerical Simulation 116: 106824.
20. [20] N. Raza, S. Arshed, F. Salman, J. F. Gómez-Aguilar, and J. Torres-Jiménez, (2022) “Phase characterization and new optical solitons of a pulse passing through nonlinear dispersive media" Modern Physics Letters B 36(19): 2250098.
21. [21] N. Raza, A. Batool, and M. Inc, (2022) “New hyperbolic and rational form solutions of (2+ 1)-dimensional generalized Korteweg-de Vries model" Journal of Ocean Engineering and Science:
22. [22] N. Raza, M. H. Rafiq, A. Bekir, and H. Rezazadeh, (2022) “Optical solitons related to (2+ 1)-dimensional Kundu–Mukherjee–Naskar model using an innovative integration architecture" Journal of Nonlinear Optical Physics & Materials 31(03): 2250014.
23. [23] J. Manafian and M. Lakestani, (2016) “Application of tan (ϕ/2)-expansion method for solving the Biswas–Milovic equation for Kerr law nonlinearity" Optik 127(4): 2040–2054.
24. [24] U. Younas, J. Ren, L. Akinyemi, and H. Rezazadeh, (2023) “On the multiple explicit exact solutions to the double-chain DNA dynamical system" Mathematical Methods in the Applied Sciences 46(6): 6309–6323.
25. [25] T. A. Sulaiman, H. Bulut, and H. M. Baskonus. “Construction of various soliton solutions via the simplified extended sinh-Gordon equation expansion method”. In: ITM Web of Conferences. 22. EDP Sciences, 2018, 1062.
26. [26] N. Salamat, A. H. Arif, M. Mustahsan, M. M. S. Missen, and V. B. S. Prasath, (2022) “On compacton traveling wave solutions of Zakharov-Kuznetsov-BenjaminBona-Mahony (ZK-BBM) equation" Computational and Applied Mathematics 41(8): 365.
27. [27] N. Raza and A. Zubair, (2019) “Optical dark and singular solitons of generalized nonlinear Schrödinger’s equation with anti-cubic law of nonlinearity" Modern Physics Letters B 33(13): 1950158.
28. [28] N. Raza, A. R. Seadawy, M. Kaplan, and A. R. Butt, (2021) “Symbolic computation and sensitivity analysis of nonlinear Kudryashov’s dynamical equation with applications" Physica Scripta 96(10): 105216.
29. [29] A. A. Mahmud, T. Tanriverdi, and K. A. Muhamad, (2023) “Exact traveling wave solutions for (2+ 1)- dimensional Konopelchenko-Dubrovsky equation by using the hyperbolic trigonometric functions methods" International Journal of Mathematics and Computer in Engineering: DOI: 10.2478/ijmce-2023-0002.
30. [30] A.-M. Wazwaz, (2005) “Compact and noncompact physical structures for the ZK–BBM equation" Applied Mathematics and Computation 169(1): 713–725.
31. [31] A.-M. Wazwaz, (2008) “The extended tanh method for new compact and noncompact solutions for the KP–BBM and the ZK–BBM equations" Chaos, Solitons & Fractals 38(5): 1505–1516.
32. [32] S. Bibi and S. T. Mohyud-Din, (2014) “Traveling wave solutions of ZK-BBM equation sine-cosine method" Commun. Numer. Anal. 2014: 1–9.
33. [33] H. Naher, (2015) “New approach of (G’/G)-expansion method and new approach of generalized (G’/G)-expansion method for ZKBBM equation" Journal of the Egyptian Mathematical Society 23(1): 42–48.
34. [34] A. Ali, M. A. Iqbal, and S. T. MohyudDin, (2016) “Solitary wave solutions Zakharov–Kuznetsov–Benjamin–Bona–Mahony (ZK–BBM) equation" Journal of the Egyptian Mathematical Society 24(1): 44–48.
35. [35] J. Zhao and W. Li, (2014) “Exact solitary wave solution in the ZK-BBM equation" Journal of Nonlinear Dynamics 2014:
36. [36] M. Song and Z. Liu, (2014) “Periodic wave solutions and their limits for the ZK–BBM equation" Applied Mathematics and Computation 232: 9–26.
37. [37] M. Song and C. Yang, (2010) “Exact traveling wave solutions of the Zakharov-Kuznetsov–Benjamin-BonaMahony equation" Applied Mathematics and Computation 216(11): 3234–3243.
38. [38] Ö. Güner, A. Bekir, L. Moraru, and A. Biswas. “Bright and dark soliton solutions of the generalized Zakharov–Kuznetsov–Benjamin–Bona–Mahony nonlinear evolution equation”. In: Proc. Rom. Acad. Ser. A. 16. 3. 2015, 422–429.
39. [39] R. Kumar, M. Kumar, and A. Kumar, (2013) “Some soliton solutions of non linear partial differential equations by Tan-Cot method" IOSR Journal of Mathematics (IOSR-JM) 6(6): 23–28.
40. [40] M. Kayum, R. Roy, M. A. Akbar, and M. S. Osman, (2021) “Study of W-shaped, V-shaped, and other type of surfaces of the ZK-BBM and GZD-BBM equations" Optical and Quantum Electronics 53(7): 1–20.
41. [41] O. Tasbozan and A. Kurt, (2015) “Approximate analytical solution of ZK-BBM equation" Sohag Journal of Mathematics 2(2): 57–60.
42. [42] M. M. Kabir, A. Khajeh, E. Abdi Aghdam, and A. Yousefi Koma, (2011) “Modified Kudryashov method for finding exact solitary wave solutions of higher-order nonlinear equations" Mathematical methods in the Applied Sciences 34(2): 213–219.
43. [43] S. M. Mirhosseini-Alizamini, N. Ullah, J. Sabi’u, H. Rezazadeh, and M. Inc, (2021) “New exact solutions for nonlinear Atangana conformable Boussinesq-like equations by new Kudryashov method" International Journal of Modern Physics B 35(12): 215016.