The first integral method and traveling wave solutions to Davey–Stewartson equation-Reference-Cited by-同舟云学术

The first integral method and traveling wave solutions to Davey–Stewartson equation

Published:2012-04-25 Issue:2 Volume:17 Page:182-193
ISSN:2335-8963
Container-title:Nonlinear Analysis: Modelling and Control
language:
Short-container-title:NAMC

Author:

Jafari Hossein,Sooraki Atefe,Talebi Yahya,Biswas Anjan

Abstract

In this paper, the first integral method will be applied to integrate the Davey–Stewartson’s equation. Using this method, a few exact solutions will be obtained using ideas from the theory of commutative algebra. Finally, soliton solution will also be obtained using the traveling wave hypothesis.

Publisher

Vilnius University Press

Subject

Applied Mathematics,Analysis

Cited by 40 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Optical soliton solution of the perturbed Biswas-Milovic equation having cubic-quintic-septic law nonlinearity in the presence of spatio-temporal and chromatic dispersion;Physica Scripta;2024-07-11

2. Theoretical Investigation on the Conservation Principles of an Extended Davey–Stewartson System with Riesz Space Fractional Derivatives of Different Orders;Fractal and Fractional;2024-03-31

3. Davey-Stewartson system and investigation of the impacts of the nonlinearity;Optical and Quantum Electronics;2023-12-27

4. Impacts of Brownian motion and fractional derivative on the solutions of the stochastic fractional Davey-Stewartson equations;Demonstratio Mathematica;2023-01-01

5. Multiplicative Brownian Motion Stabilizes the Exact Stochastic Solutions of the Davey–Stewartson Equations;Symmetry;2022-10-17