Solutions for a class of fifth-order nonlinear partial differential system

2008/10/06 by Cesar A. Gomez S., S., Cesar A. Gomez
Mathematics · Physics and Astronomy · #Differential Equations and Numerical Methods #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Nonlinear Waves and Solitons #Numerical methods for differential equations #Pattern Formation and Solitons (nlin.PS) #nlin.PS #nlin.SI

paper · pdf · doi:10.48550/arxiv.0810.1022

6 pages

arxiv created 2008/10/06 · openalex publication_date 2008/10/06 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we use the generalized tanh method to obtain exact solutions for a class of fifth-order nonlinear systems. A particular case is give by the integrable Mikhailov--Novikov--Wang system (MNW). Periodic and soliton solutions are formally derived. The mathematica is used.

Related

• Soliton solution of the generalized fifth order Hirota-Satsuma equation coupled with KdV
• Exact solutions for the general fifth order KdV equation by the extended tanh method
• A practical approach to solve coupled systems of nonlinear partial differential equations
• Elliptic solutions for a family of fifth order nonlinear evolution\n equations
• On Fifth Order KdV-Type Equation