Affiliation:
1. School of Mathematics, Iran University of Science and Technology, Narmak, Tehran, Iran
Abstract
In this study, we apply relatively analytical techniques, the multiple [Formula: see text]-function method, [Formula: see text]-function method and [Formula: see text]-expansion method to get approximate and analytic solutions of some nonlinear partial differential equations (PDEs), i.e., the nonlinear space–time fractional partial differential symmetric regularized long wave equation, an impressive model to characterize ion-acoustic and space change waves, the nonlinear [Formula: see text]-dimensional Fokas PDE, a meaningful multi-dimensional extension of the Kadomtsev–Petviashvili (KP) and Davey–Stewartson (DS) equations, [Formula: see text]-dimensional Bateman–Burgers equation, a simplification of a more complex and sophisticated model, and the [Formula: see text]-dimensional Benjamin–Ono equation, a model for the propagation of unidirectional internal waves in stratified fluids. Finally, we propose the numerical results in tables and discuss advantages and disadvantages of the mentioned methods.
Publisher
World Scientific Pub Co Pte Ltd
Subject
Condensed Matter Physics,Statistical and Nonlinear Physics
Cited by
4 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