SITEM for the Conformable Space-Time fractional (2+1)-Dimensional Asymmetric Nizhnik-Novikov-Veselov Equations
Abstract
In the present paper, new analytical solutions for the space-time fractional (2+1)-dimensional asymmetric Nizhnik-Novikov-Veselov (ANNV) equations are obtained by using the simplified $\tan(\frac{\phi (\xi) }{2})$-expansion method (SITEM)
Keywords
References
- [1] Y. Y. Wang, Y. P. Zhang, C. Q. Dai, Re-study on localized structures based on variable separation solutions from the modified tanh-function method, Nonlinear Dyn, 83 (2016), 1331-1339.
- [2] D. J. Ding, D. Q. Jin, C. Q. Dat, Analytical Solutions of Differential-Difference Sine-Gordon Equation, Thermal Science, 21 (2017), 1701-1705.
- [3] C. Q. Dai, J. Liu, Y. Fan, D. G. Yu, Two-dimensional localized Peregrine solution and breather excited in a variable-coefficient nonlinear Schrodinger equation with partial nonlocality, Nonlinear Dyn., 88 (2017), 1373-1383.
- [4] C. Q. Dai, G. Q. Zhou, Exotic interactions between solitons of the (2 + 1)-dimensional asymmetric Nizhnik-Novikov-Veselov system, Chinese Phys., 16 (2007), 1201-1208.
- [5] T. Hong, Y. Z. Wang, Y. S. Huo, Bogoliubov quasiparticles carried by dark solitonic excitations in nonuniform Bose Einstein condensates, Chin. Phys. Lett., 15 (1998), 550-552.
- [6] G. C. Das, Explosion of soliton in a multicomponent plasma, Phys. Plasmas, 4 (1997), 2095-2100.
- [7] S. Y. Lou, A direct perturbation method: Nonlinear Schrodinger equation with loss, Chin. Phys. Lett., 16 (1999), 659-661.
- [8] C. Q. Dai, S. S. Wu, X. Cen, New exact solutions of the (2+1)-dimensional asymmetric Nizhnik-Novikov-Veselov system, Int. J. Theor. Phys., 47 (2008), 1286-1293.
- [9] C. Q. Dai, Y. Y. Wang, New variable separation solutions of the (2 + 1)-dimensional asymmetric Nizhnik-Novikov-Veselo system, Nonlinear Anal., 71 (2009), 1496-1503.
- [10] S. Zhang, T. C. Xia, A generalized auxiliary equation method and its application to (2+1)-dimensional asymmetric Nizhnik-Novikov-Vesselov equations, J. Phys. A: Math. Theor., 40 (2007), 227-248.
