A method for constructing nontraveling wave solutions for (1+1)-dimensional evolution equations
From MaRDI portal
Publication:5251283
DOI10.1063/1.3431034zbMath1311.37057OpenAlexW2069789481MaRDI QIDQ5251283
Publication date: 19 May 2015
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.3431034
General theory of infinite-dimensional dissipative dynamical systems, nonlinear semigroups, evolution equations (37L05) Traveling wave solutions (35C07) Soliton solutions (35C08)
Related Items (2)
The \(N\)-loop soliton solutions for \((2+1)\)-dimensional Vakhnenko equation ⋮ A direct method for constructing the traveling wave solutions of a modified generalized Vakhnenko equation
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The \((\frac{G'}{G})\)-expansion method and travelling wave solutions of nonlinear evolution equations in mathematical physics
- A generalized \((\frac{G'}{G})\)-expansion method for the mKdV equation with variable coefficients
- Application of the \((\frac{G'}{G})\)-expansion method for nonlinear evolution equations
- A note on solitary travelling-wave solutions to the transformed reduced Ostrovsky equation
- New application of \((G'/G)\)-expansion method to a nonlinear evolution equation
- The \((G'/G)\)-expansion method and travelling wave solutions for a higher-order nonlinear Schrödinger equation
- A series of abundant exact travelling wave solutions for a modified generalized Vakhnenko equation using auxiliary equation method
- On the validity and reliability of the (\(G^{\prime}/G\))-expansion method by using higher-order nonlinear equations
- The \(N\)-soliton solution of the modified generalised Vakhnenko equation (a new nonlinear evolution equation).
- Solitary wave solutions for variant Boussinesq equations
- Application of the \(\frac{G^\prime}{G}\)-expansion to travelling wave solutions of the Broer-Kaup and the approximate long water wave equations
- Dynamical understanding of loop soliton solution for several nonlinear wave equations
- Coherent structures of some \((1+1)\)-dimensional nonlinear systems
- On the coherent structures of the Nizhnik-Novikov-Veselov equation
- (G′/G)-expansion method equivalent to the extended tanh-function method
- Nonlinear evolution equations admitting multilinear variable separable solutions
- New traveling wave solutions for higher dimensional nonlinear evolution equations using a generalized \big(\frac{G^{\prime}}{G}\big) -expansion method
- Solitons in a nonlinear model medium
- The two loop soliton solution of the Vakhnenko equation
- The stability of solutions of Vakhnenko's equation
- Variable separation approach for a differential-difference system: special Toda equation
- High-frequency soliton-like waves in a relaxing medium
- Extended multilinear variable separation approach and multivalued localized excitations for some (2+1)-dimensional integrable systems
- Application of ModifiedG′/G-Expansion Method to Traveling Wave Solutions for Whitham–Broer–Kaup-Like Equations
This page was built for publication: A method for constructing nontraveling wave solutions for (1+1)-dimensional evolution equations
