The influence of multiplicative noise on the stochastic exact solutions of the Nizhnik–Novikov–Veselov system

Mathematics and Computers in Simulation - Tập 190 - Trang 192-202 - 2021
W.W. Mohammed1,2, M. El-Morshedy3,2
1Department of Mathematics, Faculty of Science, University of Ha’il, Ha’il 2440, Saudi Arabia
2Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt
3Department of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia

Tài liệu tham khảo

Abdelrahman, 2021, The effect of multiplicative noise on the exact solutions of nonlinear Schrödinger equation, AIMS Math., 6, 2970, 10.3934/math.2021180 Albosaily, 2020, Exact solutions of the (2+1)-dimensional stochastic chiral nonlinear Schrödinger equation, Symmetry, 12, 1874, 10.3390/sym12111874 Arnold, 1998 Bulut, 2017, New solitary and optical wave structures to the (1+1)-dimensional combined KdV–mKdV equation, Optik, 135, 327, 10.1016/j.ijleo.2017.01.071 Cattani, 2018, On the soliton solutions to the Nizhnik–Novikov–Veselov and the Drinfel’d–Sokolov systems, Opt. Quantum Electron., 50, 138, 10.1007/s11082-018-1406-3 Demiray, 2019, A new approach for Nizhnik–Novikov–Veselov system, Adv. Math. Models Appl., 4, 79 Elbrolosy, 2020, Bifurcation and new traveling wave solutions for (2+1)-dimensional nonlinear Nizhnik–Novikov–Veselov dynamical equation, Eur. Phys. J. Plus, 135, 533, 10.1140/epjp/s13360-020-00546-x Hossen, 2019, Multi-soliton, breathers, lumps and interaction solution to the (2+1)-dimensional asymmetric Nizhnik–Novikov–Veselov equation, Heliyon, 10.1016/j.heliyon.2019.e02548 Imkeller, 2002, Conceptual stochastic climate models, Stoch. Dynam., 2, 311, 10.1142/S0219493702000443 Iqbal, 2020, Propagation of long internal waves in density stratified ocean for the (2+1)-dimensional nonlinear Nizhnik–Novikov–Vesselov dynamical equation, Results Phys., 16, 10.1016/j.rinp.2019.102838 Kurt, 2017, New solutions for conformable fractional Nizhnik–Novikov–Veselov system via G‵/G expansion method and homotopy analysis methods, Opt. Quantum Electron., 49, 333, 10.1007/s11082-017-1163-8 Lou, 2000, On the coherent structures of the Nizhnik–Novikov–Veselov equation, Phys. Lett. A, 277, 94, 10.1016/S0375-9601(00)00699-X Malfliet, 1996, The tanh method. I. Exact solutions of nonlinear evolution and wave equations, Phys. Scr., 54, 563, 10.1088/0031-8949/54/6/003 Manukure, 2019, Complexiton solutions to the asymmetric Nizhnik–Novikov–Veselov equation, Internat. J. Modern Phys. B, 33, 10.1142/S021797921950098X Mohammed, 2021, The exact solutions of the stochastic Ginzburg–Landau equation, Results Phys., 23, 10.1016/j.rinp.2021.103988 Mohammed, 2021, The effect of multiplicative noise on the exact solutions of the stochastic Burgers’ equation, Waves Random Complex Media, 10.1080/17455030.2021.1905914 Mohammed, 2021, Fast-diffusion limit for reaction–diffusion equations with multiplicative noise, J. Math. Anal. Appl., 496, 10.1016/j.jmaa.2020.124808 Mohammed, 2021, Exact solutions of the stochastic new coupled Konno–Oono equation, Results Phys., 21, 10.1016/j.rinp.2021.103830 Ren, 2006, A generalized F-expansion method to find abundant families of Jacobi elliptic function solutions of the (2+1)-dimensional Nizhnik–Novikov–Veselov equation, Chaos Solitons Fractals, 27, 959, 10.1016/j.chaos.2005.04.063 Shin, 2009, Some exact and new solutions of the Nizhnik–Novikov–Vesselov equation using the Exp-function method, Comput. Math. Appl., 58, 2147, 10.1016/j.camwa.2009.03.006 Wang, 2005, Further improved F-expansion method and new exact solutions of Nizhnik–Novikov–Veselov equation, Chaos Solitons Fractals, 25, 601, 10.1016/j.chaos.2004.11.026 Wazwaz, 2004, A sine–cosine method for handling nonlinear wave equations, Math. Comput. Modelling, 40, 499, 10.1016/j.mcm.2003.12.010 Wazwaz, 2004, The sine–cosine method for obtaining solutions with compact and noncompact structures, Appl. Math. Comput., 159, 559, 10.1016/j.amc.2003.08.136 Wazwaz, 2007, New solitary wave and periodic wave solutions to the (2+1)-dimensional Nizhnik–Novikov–Veselov system, Appl. Math. Comput., 187, 1584, 10.1016/j.amc.2006.09.069 Xia, 2001, New explicit and exact solutions for the Nizhnik–Novikov–Veselov equation, Appl. Math. E–Notes, 1, 139 Yusufoglu, 2006, Solitons and periodic solutions of coupled nonlinear evolution equations by using sine–cosine method, Int. J. Comput. Math., 83, 915, 10.1080/00207160601138756 Zhang, 2003, Abundant localized coherent structures of the (2+1)-dimensional generalized Nizhnik–Novikov–Veselov system, Chinese J. Phys., 41, 242 Zitian, 2020, Diverse oscillating soliton structures for the (2+1)-dimensional Nizhnik–Novikov–Veselov equation, Eur. Phys. J. Plus, 135, 8, 10.1140/epjp/s13360-019-00019-w