A modified extended method to find a series of exact solutions for a system of complex coupled KdV equations
From MaRDI portal
Publication:5712027
DOI10.1080/00036810412331282961zbMath1081.35100OpenAlexW1983378741WikidataQ58250421 ScholiaQ58250421MaRDI QIDQ5712027
Hassan A. Zedan, Khaled A. Gepreel, Elsayed M. E. Zayed
Publication date: 22 December 2005
Published in: Applicable Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00036810412331282961
KdV equations (Korteweg-de Vries equations) (35Q53) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Solutions to PDEs in closed form (35C05)
Related Items (6)
Extended proposed algorithm with symbolic computation to construct exact solutions for some nonlinear differential equations ⋮ Exact solutions for some non-linear differential equations using complex hyperbolic function methods ⋮ A series of complexiton soliton solutions for non-linear Hirota–Satsuma equations using the generalized multiple Riccati equations rational expansion method ⋮ Travelling solitary wave solutions for the nonlinear coupled Korteweg-de Vries system ⋮ On solitary wave solutions for the two-dimensional nonlinear modified Kortweg-de Vries-Burger equation ⋮ Some applications of the \((\frac{G'}{G})\)-expansion method to non-linear partial differential equations
Cites Work
- A series of new exact solutions for a complex coupled KdV system
- The sec\(_q\)-tanh\(_q\)-method and its applications
- New transformations and new approach to find exact solutions to nonlinear equations
- On the solitary wave solutions for nonlinear Hirota-Satsuma coupled KdV equations
- A generalized Hirota-Satsuma coupled Korteweg-de Vries equation and Miura transformations
- Application of a homogeneous balance method to exact solutions of nonlinear equations in mathematical physics
- Multiple travelling wave solutions of nonlinear evolution equations using a unified algebraic method
- Explicit exact solutions for new general two-dimensional KdV-type and two-dimensional KdV Burgers-type equations with nonlinear terms of any order
- A transformation with symbolic computation and abundant new soliton-like solutions for the (1 2)-dimensional generalized Burgers equation
- A New Algebraic Method for Finding a Series of Travelling Wave Solution to a Coupled Ito System
- Soliton solutions for a generalized Hirota-Satsuma coupled KdV equation and a coupled MKdV equation
- Double periodic solutions with Jacobi elliptic functions for two generalized Hirota-Satsuma coupled KdV systems
- New exact solutions for a class of nonlinear coupled differential equations
This page was built for publication: A modified extended method to find a series of exact solutions for a system of complex coupled KdV equations