Application of the generalized Kudryashov method to the Eckhaus equation

DOI10.15388/NA.2016.5.1zbMath1421.35331OpenAlexW2560959562MaRDI QIDQ4968084

Mohammad Mirzazadeh, Ahmed H. Arnous

Publication date: 12 July 2019

Published in: Nonlinear Analysis: Modelling and Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.15388/na.2016.5.1

zbMATH Keywords

exact solutionsnonlinear evolution equationsEckhaus equationgeneralized Kudryashov method

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Solutions to PDEs in closed form (35C05) Other special methods applied to PDEs (35A25) Soliton solutions (35C08)

Related Items (5)

New optical solitons of Kundu-Eckhaus equation via \(\lambda\)-symmetry ⋮ Applications of the extended rational sine-cosine and sinh-cosh techniques to some nonlinear complex models arising in mathematical physics ⋮ Quasimonochromatic dynamical system and optical soliton cooling with triple-power law of self-phase modulation ⋮ Chirped optical solitons and stability analysis of the nonlinear Schrödinger equation with nonlinear chromatic dispersion ⋮ On the exact solutions to some system of complex nonlinear models

Cites Work

• One method for finding exact solutions of nonlinear differential equations
• The \((\frac{G'}{G})\)-expansion method and travelling wave solutions of nonlinear evolution equations in mathematical physics
• Exact solutions of the Kudryashov-Sinelshchikov equation
• Perturbation of topological solitons due to sine-Gordon equation and its type
• New application of the \((G'/G)\)-expansion method
• Solitary waves of Boussinesq equation in a power law media
• Improved Jacobi-function method with symbolic computation to construct new double-periodic solutions for the generalized Ito system
• The extended tanh method for abundant solitary wave solutions of nonlinear wave equations
• Exp-function method for nonlinear wave equations
• Generalized Kudryashov method for time-fractional differential equations
• A sine-cosine method for handling nonlinear wave equations
• Applications of the Jacobi elliptic function method to special-type nonlinear equations
• The improved F-expansion method and its applications
• A note on solutions of the generalized Fisher equation
• The extended \(F\)-expansion method and its application for a class of nonlinear evolution equations
• New exact travelling wave solutions using modified extended tanh-function method
• Soliton perturbation theory for the quadratic nonlinear Klein-Gordon equation
• Statistically based inverse scattering from complex symmetric targets using severely aspect-limited high-frequency phase derivative data
• Nonlinear evolution equations, rescalings, model PDES and their integrability: I

This page was built for publication: Application of the generalized Kudryashov method to the Eckhaus equation