An improvement on the exp-function method when balancing the highest order linear and nonlinear terms
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Publication:425311
DOI10.1016/j.jmaa.2011.04.025zbMath1239.35008OpenAlexW1971729343MaRDI QIDQ425311
Publication date: 8 June 2012
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.04.025
Nonlinear ordinary differential equations and systems (34A34) Nonlinear higher-order PDEs (35G20) Methods of ordinary differential equations applied to PDEs (35A24)
Related Items (9)
Exact solutions of non-linear lattice equations by an improved exp-function method ⋮ A novel analytical technique to obtain kink solutions for higher order nonlinear fractional evolution equations ⋮ Exact solutions of the space time fractional symmetric regularized long wave equation using different methods ⋮ Existence of solitary solutions in a class of nonlinear differential equations with polynomial nonlinearity ⋮ On the exact analytical and numerical solutions of nano boundary-layer fluid flows ⋮ A simplification for Exp-function method when the balanced nonlinear term is a certain product ⋮ Unnamed Item ⋮ Applications of two methods in exact wave solutions in the space-time fractional Drinfeld-Sokolov-Wilson system ⋮ SOLITARY WAVE SOLUTIONS FOR SPACE-TIME FRACTIONAL COUPLED INTEGRABLE DISPERSIONLESS SYSTEM VIA GENERALIZED KUDRYASHOV METHOD
Cites Work
- Generalized solitary solution and compacton-like solution of the Jaulent-Miodek equations using the Exp-function method
- Exp-function method for the exact solutions of fifth order KdV equation and modified Burgers equation
- A variety of exact travelling wave solutions for the \((2+1)\)-dimensional Boiti-Leon-Pempinelli equation
- Exact solitary wave solutions for some nonlinear evolution equations via Exp-function method
- Application of the exp-function method for solving nonlinear reaction-diffusion equations arising in mathematical biology
- The exp-function method and generalized solitary solutions
- New solitary wave solutions to nonlinear evolution equations by the exp-function method
- Exact solutions of nonlinear evolution equations with variable coefficients using exp-function method
- Solitary solutions, periodic solutions and compacton-like solutions using the Exp-function method
- Exp-function method for nonlinear wave equations
- Exact solutions for the generalized Klein-Gordon equation via a transformation and exp-function method and comparison with Adomian's method
- Exp-function method and its application to nonlinear equations
- Exp-function method for Riccati equation and new exact solutions with two arbitrary functions of \((2 + 1)\)-dimensional Konopelchenko-Dubrovsky equations
- The exp-function approach to the Schwarzian Korteweg-de Vries equation
- \(N\)-soliton solutions of the KP equation by Exp-function method
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