Kerr-law nonlinearity of the resonant nonlinear Schrodinger’s equation with time-dependent coefficients

Aghdaei, Mehdi Fazli

doi:10.1007/s11082-017-1053-0

Cited by 4 publications

(1 citation statement)

References 39 publications

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“…Manafan et al proposed a new method to solve nonlinear partial diferential equations, namely, the improved tan (φ/2) expansion method [49]. With the help of this method, many classical nonlinear partial diferential equations have been investigated and abundant exact solutions have been obtained [50][51][52][53][54][55][56][57][58][59][60][61][62][63][64][65][66][67][68][69]. Mohyud-Din and Irshad used this method to construct an exact solution for the generalised KP equation and explained that it can provide better help for the study of generalised KP equations [60].…”

Section: Introductionmentioning

confidence: 99%

Abundance of Exact Solutions of a Nonlinear Forced (2 + 1)-Dimensional Zakharov–Kuznetsov Equation for Rossby Waves

renmandula

Yin

2023

Journal of Mathematics

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In this paper, an improved tan (φ/2) expansion method is used to solve the exact solution of the nonlinear forced (2 + 1)-dimensional Zakharov–Kuznetsov equation. Firstly, we analyse the research status of the improved tan (φ/2) expansion method. Then, exact solutions of the nonlinear forced (2 + 1)-dimensional Zakharov–Kuznetsov equation are obtained by the perturbation expansion method and the multi-spatiotemporal scale method. It is shown that the improved tan (φ/2) expansion method can obtain more exact solutions, including exact periodic travelling wave solutions, exact solitary wave solutions, and singular kink travelling wave solutions. Finally, the three-dimensional figure and the corresponding plane figure of the corresponding solution are given by using MATLAB to illustrate the influence of external source, dimension variable y, and dispersion coefficient on the propagation of the Rossby wave.

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