Exact solutions of (2+1)-dimensional Bogoyavlenskii's breaking soliton equation with symbolic computation

DOI10.1016/j.camwa.2010.05.037zbMath1201.81051OpenAlexW2025837016MaRDI QIDQ611390

Shouquan Xiong, Tie-cheng Xia

Publication date: 14 December 2010

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2010.05.037

zbMATH Keywords

rational solutionstrigonometric function solutionshyperbolic function solutions\((\frac{G'}{G})\)-expansion method(2+1)-dimensional Bogoyavlenskii's breaking soliton equation

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Soliton equations (35Q51) Symbolic computation of special functions (Gosper and Zeilberger algorithms, etc.) (33F10)

Related Items (8)

Abundant explicit non-traveling wave solutions for the (2+1)-dimensional breaking soliton equation ⋮ Some reduction and exact solutions of a higher-dimensional equation ⋮ Collision phenomena among lump, periodic and soliton solutions to a (2+1)-dimensional Bogoyavlenskii's breaking soliton model ⋮ Constructing rogue wave prototypes of nonlinear evolution equations via an extended tanh method ⋮ Characteristics of solitary wave, homoclinic breather wave and rogue wave solutions in a (2+1)-dimensional generalized breaking soliton equation ⋮ Lump-type solutions and interaction phenomenon to the (2+1)-dimensional breaking soliton equation ⋮ Breather, lump and N-soliton wave solutions of the (2+1)-dimensional coupled nonlinear partial differential equation with variable coefficients ⋮ On closed form solutions of \((2+1)\)-breaking soliton system by similarity transformations method

Cites Work

• 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
• Variational principles for some nonlinear partial differential equations with variable coefficients
• An algebraic method exactly solving two high-dimensional nonlinear evolution equations
• Periodic wave solutions to a coupled KdV equations with variable coefficients
• Solitary wave solutions for variant Boussinesq equations
• A simple transformation for nonlinear waves.
• Variational approach to \((2+1)\)-dimensional dispersive long water equations
• Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
• Breaking solitons in 2+1-dimensional integrable equations
• Jacobi elliptic function expansion method and periodic wave solutions of nonlinear wave equations

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