Dynamics of lump collision phenomena to the (3+1)-dimensional nonlinear evolution equation
Tóm tắt
Từ khóa
Tài liệu tham khảo
Abdeljabbar, 2021, New double Wronskian exact solutions for a generalized (2+1)-dimensional nonlinear system with variable coefficients, Part. Differ. Eq. Appl. Math., 3
Alquran, 2019, Multiplicative of dual-waves generated upon increasing the phase velocity parameter embedded in dual-mode Schrodinger with nonlinearity Kerr laws, Nonlinear Dyn., 96, 115, 10.1007/s11071-019-04778-0
Alquran, 2015, A new simplified bilinear method for the N-soliton solutions for a generalized FmKdV equation with time-dependent variable coefficients, Int. J. Nonlinear Sci. Numer. Simul., 16, 259, 10.1515/ijnsns-2014-0023
Bianca, 2013, Persistence analysis in a Kolmogorov-type model for cancer-immune system competition, AIP Conf. Proc., 1558, 1797, 10.1063/1.4825874
Chen, 2018, Lump solutions to a generalized Bogoyavlensky-Konopelchenko equation, Front. Math. China, 13, 525, 10.1007/s11464-018-0694-z
Gala, 2016, Logarithmically improved regularity criterion for the Boussinesq equations in Besov spaces with negative indices, Appl. Anal., 95, 1271, 10.1080/00036811.2015.1061122
Gala, 2014, A remark on the regularity criterion of Boussinesq equations with zero heat conductivity, Appl. Math. Lett., 27, 70, 10.1016/j.aml.2013.08.002
Hirota, 2004
Jaradat, 2012, Variable coefficient equations of the Kadomtsev–Petviashvili hierarchy: multiple soliton solutions and singular multiple soliton solutions, Phys. Scr., 85, 10.1088/0031-8949/85/03/035001
Jaradat, 2015, Controllable dynamical behaviors and the analysis of fractal burgers hierarchy with the full effects of inhomogeneities of media, Rom. J. Phys., 60, 324
Jaradat, 2018, A reliable study of new nonlinear equation: two-mode Kuramoto-Sivashinsky, Int. J. Appl. Comput. Math., 4, 64, 10.1007/s40819-018-0497-7
Jaradat, 2018, A numerical study on weak-dissipative two-mode perturbed Burgers' and Ostrovsky models: right-left moving waves, Eur. Phys. J. Plus, 133, 164, 10.1140/epjp/i2018-12026-x
Jaradat, 2018, Dark and singular optical solutions with dual-mode nonlinear Schrodinger's equation and Kerr-law nonlinearity, Optik, 172, 822, 10.1016/j.ijleo.2018.07.069
Kaup, 1981, The lump solutions and the Bäcklund transformation for the three-dimensional three-wave resonant interaction, J. Math. Phys., 22, 1176, 10.1063/1.525042
Ma, 2015, Lump solutions to the Kadomtsev-Petviashvili equation, Phys. Lett. A, 379, 1975, 10.1016/j.physleta.2015.06.061
Ma, 2017, Lump-type solutions to the (3+1)-dimensional Jimbo-Miwa equation, Int. J. Nonlinear Sci. Numer. Simul., 17, 355
Ma, 2017, Abundant lump-type solutions of the Jimbo-Miwa equation in (3+1)-dimensions, Comput. Math. Appl., 73, 220, 10.1016/j.camwa.2016.11.007
Ma, 2019, A search for lump solutions to a combined fourth order nonlinear PDE in (2+1)-dimensions, J. Appl. Anal. Comput., 9, 1319
Ma, 2020, N-soliton solutions and the Hirota conditions in (2+1)-dimensions, Opt. Quantum Electron., 52, 511, 10.1007/s11082-020-02628-7
Ma, 2021, N-soliton solutions and the Hirota conditions in (1+1)-dimensions, Int. J. Nonlinear Sci. Numer. Simul., 22
Ma, 2021, N-soliton solution and the Hirota condition of a (2+1)-dimensional combined equation, Math. Comput. Simul., 190, 270, 10.1016/j.matcom.2021.05.020
Ma, 2021, N-soliton solution of a combined pKP–BKP equation, J. Geom. Phys., 165, 10.1016/j.geomphys.2021.104191
Ma, 2016, Lump solutions to dimensionally reduced p-gKP and p-gBKP equations, Nonlinear Dyn., 84, 923, 10.1007/s11071-015-2539-6
Ma, 2016, Lump-type solutions to nonlinear differential equations derived from generalized bilinear equations, Int. J. Mod. Phys. B, 30
Ma, 2021, Soliton solutions to the B-type Kadomtsev–Petviashvili equation under general dispersion relations, Wave Motion, 103, 10.1016/j.wavemoti.2021.102719
Ma, 2021, Riemann-Hilbert problems and soliton solutions of nonlocal real reverse-spacetime mKdV equations, J. Math. Anal. Appl., 498, 10.1016/j.jmaa.2021.124980
Peng, 2019, Nonautonomous complex wave solutions for the (2+1)-dimensional Heisenberg ferromagnetic spin chain equation with variable coefficients, Opt. Quantum Electron., 51, 168, 10.1007/s11082-019-1883-z
Sulaiman, 2021, Dynamics of lump periodic and breather waves solutions with variable coefficients in liquid with gas bubbles, Waves Random Complex Media
Sulaiman, 2020, Nonautonomous complex wave solutions to the (2+1)-dimensional variable-coefficients nonlinear Chiral Schrödinger equation, Results Phys., 19, 10.1016/j.rinp.2020.103604
Sulaiman, 2020, New lump, lump-kink, breather waves and other interaction solutions to the (3+1)-dimensional soliton equation, Commun. Theor. Phys., 72, 10.1088/1572-9494/ab8a21
Sulaiman, 2021, Dynamics of optical solitons and nonautonomous complex wave solutions to the nonlinear Schrodinger equation with variable coefficients, Nonlinear Dyn., 104, 639, 10.1007/s11071-021-06284-8
Tang, 2016, Lump solitons and the interaction phenomena of them for two classes of nonlinear evolution equations, Comput. Math. Appl., 72, 2334, 10.1016/j.camwa.2016.08.027
Xu, 2018, Global well-posedness for the 2D Boussinesq equations with partial temperature-dependent dissipative terms, J. Math. Anal. Appl., 466, 351, 10.1016/j.jmaa.2018.05.069
Yang, 2016, Lump solutions to the BKP equation by symbolic computation, Int. J. Mod. Phys. B, 30
Yang, 2018, Lump and lump-soliton solutions to the (2+1) dimensional Ito equation, Anal. Math. Phys., 8, 427, 10.1007/s13324-017-0181-9
Yin, 2021, Bäcklund transformation, exact solutions and diverse interaction phenomena to a (3+1)-dimensional nonlinear evolution equation, Nonlinear Dyn.
Yong, 2018, Lump solutions to the Kadomtsev-Petviashvili I equation with a self-consistent source, Comput. Math. Appl., 75, 3414, 10.1016/j.camwa.2018.02.007
Yusuf, 2020, Breather wave, lump-periodic solutions and some other interaction phenomena to the Caudrey–Dodd–Gibbon equation, Eur. Phys. J. Plus, 135, 563, 10.1140/epjp/s13360-020-00566-7
Yusuf, 2021, Construction of multi-wave complexiton solutions of the Kadomtsev-Petviashvili equation via two efficient analyzing techniques, Results Phys., 21, 10.1016/j.rinp.2020.103775
Zhang, 2017, Lump solutions to the (2+1)-dimensional Sawada-Kotera equation, Nonlinear Dyn., 87, 2305, 10.1007/s11071-016-3190-6