Some new traveling wave solutions of the nonlinear reaction diffusion equation by using the improved \((G'/G)\)-expansion method
From MaRDI portal
Publication:1955307
DOI10.1155/2012/871724zbMath1264.35123OpenAlexW1991419399WikidataQ58912591 ScholiaQ58912591MaRDI QIDQ1955307
Farah Aini Abdullah, Hasibun Naher
Publication date: 11 June 2013
Published in: Mathematical Problems in Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2012/871724
KdV equations (Korteweg-de Vries equations) (35Q53) Reaction-diffusion equations (35K57) Traveling wave solutions (35C07)
Related Items
Analysis of optical solitons solutions of two nonlinear models using analytical technique ⋮ New application of the \((G'/G)\)-expansion method for thin film equations ⋮ New traveling wave solutions by the extended generalized Riccati equation mapping method of the \((2 + 1)\)-dimensional evolution equation ⋮ New generalized and improved \((G'/G)\)-expansion method for nonlinear evolution equations in mathematical physics ⋮ New exact solutions of the reaction–diffusion equation with variable coefficients via the mathematical computation ⋮ Extraction of solitary wave features to the Heisenberg ferromagnetic spin chain and the complex Klein-Gordon equations ⋮ The improved \((G'/G)\)-expansion method for the \((2+1)\)-dimensional modified Zakharov-Kuznetsov equation ⋮ New approach of \((G^\prime/G)\)-expansion method and new approach of generalized \((G^\prime/G)\)-expansion method for ZKBBM equation
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The \((G'/G)\)-expansion method for abundant traveling wave solutions of Caudrey-Dodd-Gibbon equation
- New traveling wave solutions of the higher dimensional nonlinear partial differential equation by the Exp-function method
- The \((\frac{G'}{G})\)-expansion method and travelling wave solutions of nonlinear evolution equations in mathematical physics
- Bäcklund transformation and new exact solutions of the Sharma-Tasso-Olver equation
- A new general iterative method for solution of a new general system of variational inclusions for nonexpansive semigroups in Banach spaces
- Topological and non-topological solitons of nonlinear Klein-Gordon equations by He's semi-inverse variational principle
- Exact solutions of the generalized Benjamin-Bona-Mahony equation
- The extended tanh method and the exp-function method to solve a kind of nonlinear heat equation
- Application of the exp-function method for solving nonlinear reaction-diffusion equations arising in mathematical biology
- Topological and non-topological solitons of the Klein-Gordon equations in \(1+2\) dimensions
- Some new iterative methods for nonlinear equations
- Application of the \((\frac{G'}{G})\)-expansion method for nonlinear evolution equations
- An iteration method generating analytical solutions for Blasius problem
- Constructing of exact solutions to the KdV and Burgers equations with power-law nonlinearity by the extended \((\frac{G'}{G})\)-expansion method
- Soliton perturbation theory for phi-four model and nonlinear Klein-Gordon equations
- Topological and non-topological solitons of the generalized Klein-Gordon equations
- The extended \(\left( \frac {G^{\prime}}{G}\right)\)-expansion method and its applications to the Whitham-Broer-Kaup-like equations and coupled Hirota-Satsuma KdV equations
- Exp-function method for nonlinear wave equations
- An analytic solution for a Vasicek interest rate convertible bond model
- Application of the Cole-Hopf transformation for finding exact solutions to several forms of the seventh-order KdV equation
- Mathematical transform of traveling-wave equations and phase aspects of quantum interaction
- Exact travelling wave solutions of some nonlinear equations by \((\frac{G'}{G})\)-expansion method
- Analytic solutions of the (2 + 1)-dimensional nonlinear evolution equations using the sine-cosine method
- Bäcklund transformations and their applications
- On the solitary wave solutions for nonlinear Hirota-Satsuma coupled KdV equations
- On a new integral transform and differential equations
- Applications of an extended \((G'/G)\)-expansion method to find exact solutions of nonlinear PDEs in mathematical physics
- Exact solutions to KdV6 equation by using a new approach of the projective Riccati equation method
- The tanh-coth method for solitons and kink solutions for nonlinear parabolic equations
- A sub-ODE method for finding exact solutions of a generalized KdV-mKdV equation with high-order nonlinear terms
- Exact solutions of coupled nonlinear Klein-Gordon equations
- Application of a homogeneous balance method to exact solutions of nonlinear equations in mathematical physics
- The extended \(F\)-expansion method and its application for a class of nonlinear evolution equations
- Applications of F-expansion to periodic wave solutions for a new Hamiltonian amplitude equa\-tion
- Soliton perturbation theory for the quadratic nonlinear Klein-Gordon equation
- The Improved \(\frac{G'}{G}\)- Expansion Method for Solving \((3+1)\)-Dimensional Potential- YTSF Equation
- Application of the exp-function method to nonlinear lattice differential equations for multi-wave and rational solutions
- Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
- New traveling wave solutions for higher dimensional nonlinear evolution equations using a generalized \big(\frac{G^{\prime}}{G}\big) -expansion method
- A class of exact, periodic solutions of nonlinear envelope equations
- A new (2+1)-dimensional Korteweg–de Vries equation and its extension to a new (3+1)-dimensional Kadomtsev–Petviashvili equation
- An improved (G′/G)-expansion method for solving nonlinear evolution equations
- New explicit solitary wave solutions and periodic wave solutions for Whitham-Broer-Kaup equation in shallow water
- Jacobi elliptic function expansion method and periodic wave solutions of nonlinear wave equations
