Extended tanh-function method and its applications to nonlinear equations
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- Type
- article
- Published
- 2000-12-04
- Cited by
- 2,063
- References
- 31
- OpenAlex
- https://openalex.org/W2073817609
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:122178749
Keywords
Hyperbolic function, Nonlinear system, Function (biology), Partial differential equation, Hyperbolic partial differential equation
References
- Mathematics Mechanization and Applications
- Travelling solitary wave solutions to a seventh-order generalized KdV equation
- On the microwave hotspot problem
- New exact solutions to a system of coupled KdV equations
- Travelling wave solutions to the two-dimensional KdV-Burgers equation
- Large cells in nonlinear marangoni convection
- Rational and elliptic solutions of the korteweg‐de vries equation and a related many‐body problem
- Explosive instabilities of reaction-diffusion equations.
- ON THE GENERALIZED TANH METHOD FOR THE (2+1)-DIMENSIONAL BREAKING SOLITON EQUATION
- A New Example of Explode-Decay Solitary Waves in One-Dimension
- A note on the homogeneous balance method
- Exact solutions of the generalized Kuramoto-Sivashinsky equation
- Exact and explicit solitary wave solutions to some nonlinear equations
- Similarity reductions of the KP equation by a direct method
- Solitary wave solutions of nonlinear evolution and wave equations using a direct method and MACSYMA
- Exact solitary wave solutions of coupled nonlinear evolution equations using MACSYMA
- Solitary wave solutions of nonlinear wave equations
- A family of exact travelling wave solutions to nonlinear evolution and wave equations
- Formation of Saturated Solitons in a Nonlinear Dispersive System with Instability and Dissipation
- An automated tanh-function method for finding solitary wave solutions to non-linear evolution equations
Cited by
- Traveling wave solutions for the fifth-order Sawada-Kotera equation and the general Gardner equation by (G′/G)-expansion method
- Traveling wave solutions for three non-linear equations by (G′/G)-expansion method
- Kinks and bell-type solitons in microtubules.
- Traveling wave solutions for some nonlinear evolution equations by the first integral method
- Exact solutions for two non-linear equations
- Traveling wave solution for the BBM equation with any order by (G′/G)-expansion method
- Soliton Solutions for the Inverse Korteweg-De Vries Equation
- Application of the (G′G)-expansion method for nonlinear evolution equations
- New Solutions for Some Important Partial Differential Equations
- Traveling wave solutions for the fifth-order Kdv equation and the BBM equation by (G′/G)-expansion method
- Exact travelling wave solutions of the (3+1)-dimensional mKdV-ZK equation and the (1+1)-dimensional compound KdVB equation using the new approach of generalized G′/G ( G^′ /G )-expansion method
- The modified (G′/G )- expansion method and its applications to construct exact solutions for nonlinear PDEs
- Explicit Exact Solutions for Some Nonlinear Partial Differential Equations with Nonlinear Terms of Any Order
- Traveling wave solutions for the (2+1) dimensional Boussinesq equation and the two-dimensional burgers equation by (G′/G)-expansion method
- A further improved (G′/G)- expansion method and the extended tanh- method for finding exact solutions of nonlinear PDEs
- A Generalized Simplest Equation Method and Its Application to the Boussinesq-Burgers Equation
- Reductions of PDEs to first order ODEs, symmetries and symbolic computation
- Comment on "Symbolic Computation and q-Deformed Function Solutions of the (2+1)-Dimensional Breaking Soliton Equation"
- Study of the Analytical Treatment of the (2+1)-Dimensional Zoomeron, the Duffing and the SRLW Equations via a New Analytical Approach
- Applications of the exp(-Φ(ξ))-Expansion Method to Find Exact Traveling Wave Solutions of the Benney-Luke Equation in Mathematical Physics
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