New exact solutions of the Davey-Stewartson equation with power-law nonlinearity

DOI10.1007/s40840-014-0075-zzbMath1320.35145OpenAlexW2051432034MaRDI QIDQ2350708

Emine Misirli, Yusuf Gurefe, Mehmet Ekici, Yusuf Pandir, Abdullah Sonmezoglu

Publication date: 25 June 2015

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40840-014-0075-z

zbMATH Keywords

trial equation methodWeierstrass elliptic function solutionsWeierstrass transformation method

Mathematics Subject Classification ID

Nonlinear higher-order PDEs (35G20) Soliton solutions (35C08)

Related Items (5)

Darboux transformation and exact solutions of the variable coefficient nonlocal Newell-Whitehead equation ⋮ Soliton solutions of the Klein-Gordon-Zakharov equation with power law nonlinearity ⋮ Lump, rogue wave, multi-waves and Homoclinic breather solutions for (2+1)-Modified Veronese Web equation ⋮ Bäcklund transformations, nonlocal symmetries and soliton-cnoidal interaction solutions of the \((2+1)\)-dimensional Boussinesq equation ⋮ New Weierstrass elliptic wave solutions of the Davey–Stewartson equation with power law nonlinearity

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Classification of exact solutions for some nonlinear partial differential equations with generalized evolution
• New variable separation solutions of two-dimensional Burgers system
• The \(\frac{G'}{G}\) method and 1-soliton solution of the Davey-Stewartson equation
• The \((\frac{G'}{G})\)-expansion method and travelling wave solutions of nonlinear evolution equations in mathematical physics
• Applications of complete discrimination system for polynomial for classifications of traveling wave solutions to nonlinear differential equations
• Exp-function method for solving nonlinear evolution equations with higher order nonlinearity
• The method and topological soliton solution of the \(K(m, n)\) equation
• Propagating wave patterns and ``peakons of the Davey-Stewartson system
• Long-wave short-wave resonance case for a generalized Davey-Stewartson system
• The calculation of novel class of solutions of a non-linear fourth order evolution equation by the Weierstraß transform method
• The novel solutions of auxiliary equation and their application to the \((2 + 1)\)-dimensional Burgers equations
• Self-similar solutions to a generalized Davey-Stewartson system
• Exact solutions of the Drinfel'd-Sokolov-Wilson equation using the exp-function method
• New solitons and periodic solutions for nonlinear physical models in mathematical physics
• Solitary wave solutions for variant Boussinesq equations
• Classification of traveling wave solutions to the Vakhnenko equations
• Extended trial equation method to generalized nonlinear partial differential equations
• A novel class of solutions for a nonlinear third order wave equation generated by the Weierstraß transformation
• Extended tanh-function method and its applications to nonlinear equations
• Analytical and numerical solutions to the Davey–Stewartson equation with power-law nonlinearity
• Exact periodic solutions of the complex Ginzburg–Landau equation
• Classification of exact solutions to the generalized Kadomtsev–Petviashvili equation

This page was built for publication: New exact solutions of the Davey-Stewartson equation with power-law nonlinearity