General exp\(_a\)-function method for nonlinear evolution equations
DOI10.1016/J.AMC.2010.06.025zbMath1201.65180OpenAlexW2051495326MaRDI QIDQ711269
Ahmad T. Ali, Ezzat Ramadan Hassan
Publication date: 25 October 2010
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2010.06.025
hyperbolic functionsexponential functionssolitary wave solutionsexponential function methodgraphical examplesExp-function methodperiodic functionscombined Korteweg-de Vries--modified Korteweg-de Vries equationFibonacci functionsKdV-mKdV equationLucas functions
KdV equations (Korteweg-de Vries equations) (35Q53) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)
Related Items (17)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Exact solutions for nonlinear evolution equations using Exp-function method
- Exact solutions of KdV-Burgers' equation by Exp-function method
- Exp-function method for constructing exact solutions of Sharma-Tasso-Olver equation
- Application of Exp-function method to potential Kadomtsev-Petviashvili equation
- Exact solitary wave solutions for some nonlinear evolution equations via Exp-function method
- Application of Exp-function method to Riccati equation and new exact solutions with three arbitrary functions of Broer-Kaup-Kupershmidt equations
- Solitons and periodic solutions for the fifth-order KdV equation with the Exp-function method
- Be careful with the Exp-function method
- New generalized Jacobi elliptic function expansion method
- Different Higgs models and the number of Higgs particles
- Improved Jacobi-function method with symbolic computation to construct new double-periodic solutions for the generalized Ito system
- Exact solutions of a KdV equation with variable coefficients via Exp-function method
- Isovector fields and similarity solutions of Einstein vacuum equations for rotating fields
- Solitary solutions, periodic solutions and compacton-like solutions using the Exp-function method
- Exp-function method for nonlinear wave equations
- The \(k\)-Fibonacci hyperbolic functions
- A further improved extended fan sub-equation method and its application to the \((3+1)\)-dimensional Kadomstev-Petviashvili equation
- Isovector fields and similarity solutions for general balance equations
- Bäcklund transformations, the inverse scattering method, solitons, and their applications. NSF research workshop on contact transformations
- An automated \(\tanh\)-function method for finding solitary wave solutions to nonlinear evolution equations
- On a new class of hyperbolic functions
- Experimental and theoretical arguments for the number and the mass of the Higgs particles
- Exact solutions for a compound KdV-Burgers equation
- Travelling solitary wave solutions to a compound KdV-Burgers equation.
- New sets of solitary wave solutions to the KdV, mKdV, and the generalized KdV equations
- The extended Fan's sub-equation method and its application to KdV-MKdV, BKK and variant Boussinesq equations
- The extended \(F\)-expansion method and its application for a class of nonlinear evolution equations
- Simplest equation method to look for exact solutions of nonlinear differential equations
- Jacobian elliptic function expansion solutions of nonlinear stochastic equations
- The Painlevé property for partial differential equations. II: Bäcklund transformation, Lax pairs, and the Schwarzian derivative
- Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
- A note on the Exp-function method and its application to nonlinear equations
- The tanh method: I. Exact solutions of nonlinear evolution and wave equations
- Notes on superstrings and the infinite sums of Fibonacci and Lucas numbers.
This page was built for publication: General exp\(_a\)-function method for nonlinear evolution equations