New periodic soliton solutions for the (3 + 1)-dimensional potential-YTSF equation

DOI10.1016/j.chaos.2009.01.040zbMath1198.35245OpenAlexW2026290931MaRDI QIDQ603606

Zhengde Dai, Xiping Zeng, Dong-Long Li

Publication date: 8 November 2010

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2009.01.040

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Periodic solutions to PDEs (35B10) Soliton solutions (35C08)

Related Items (22)

Periodic wave solutions and stability analysis for the (3+1)-D potential-YTSF equation arising in fluid mechanics ⋮ Complexiton solutions and periodic-soliton solutions for the \((2+1)\)-dimensional BLMP equation ⋮ New Double-Periodic Soliton Solutions for the (2+1)-Dimensional Breaking Soliton Equation ⋮ Multiple-soliton solutions, soliton-type solutions and rational solutions for the \((3+1)\)-dimensional generalized shallow water equation in oceans, estuaries and impoundments ⋮ Dynamics of kinky wave for \((3+1)\)-dimensional potential Yu-Toda-Sasa-Fukuyama equation ⋮ Analysis of stability of traveling wave for Kadomtsev-Petviashvili equation ⋮ Application of the \((\frac{G'}{G})\)-expansion method to \((3 +1)\)-dimensional nonlinear evolution equations ⋮ Abundant new non-travelling wave solutions for the (3+1)-dimensional potential-YTSF equation ⋮ The EHTA for nonlinear evolution equations ⋮ Exact periodic cross-kink wave solutions for the new (2+1)-dimensional KdV equation in fluid flows and plasma physics ⋮ Solitonic interaction and Pfaffianization for a \((3 + 1)\)-dimensional potential Yu-Toda-Sasa-Fukuyama equation in a two-layer liquid ⋮ Double-periodic soliton solutions for the new \((2+1)\)-dimensional KdV equation in fluid flows and plasma physics ⋮ Exact periodic cross-kink wave solutions and breather type of two-solitary wave solutions for the \((3 + 1)\)-dimensional potential-YTSF equation ⋮ Multiple invariant solutions of the 3D potential Yu–Toda–Sasa–Fukuyama equation via symmetry technique ⋮ Rogue wave for the (3+1)-dimensional Yu-Toda-Sasa-Fukuyama equation ⋮ Multiple soliton solutions for the new \((2 + 1)\)-dimensional Korteweg-de Vries equation by multiple \(\exp\)-function method ⋮ Double-periodic soliton solutions for the (3+1)-dimensional Boiti-Leon-Manna-Pempinelli equation in incompressible fluid ⋮ Lie symmetry analysis and exact solutions of \((3+1)\) dimensional Yu-Toda-Sasa-Fukuyama equation in mathematical physics ⋮ Exact periodic kink-wave and degenerative soliton solutions for potential Kadomtsev-Petviashvili equation ⋮ General Higher-Order Breather and Hybrid Solutions of the Fokas System ⋮ Dispersion analysis and improved F-expansion method for space-time fractional differential equations ⋮ Applications of the extended test approach to \((2+1)\)-dimensional Gardner equation

Cites Work

• Exact homoclinic wave and soliton solutions for the 2D Ginzburg-Landau equation
• Exp-function method for nonlinear wave equations
• Singular periodic soliton solutions and resonance for the Kadomtsev-Petviashvili equation
• New families of nontravelling wave solutions to a new (3+1)-dimensional potential-YTSF equation
• Explicit exact solutions for compound KdV-type and compound KdV-Burgers-type equations with nonlinear terms of any order.
• Exact solutions of nonlinear PDE, nonlinear transformation and reduction of nonlinear PDE to a quadrature
• Exact solutions of nonlinear equations
• Application of a homogeneous balance method to exact solutions of nonlinear equations in mathematical physics
• The periodic wave solutions for the (3 + 1)-dimensional Klein-Gordon-Schrödinger equations
• Applications of F-expansion to periodic wave solutions for a new Hamiltonian amplitude equa\-tion
• Homoclinic orbits and periodic solitons for Boussinesq equation with even constraint
• Extended tanh-function method and its applications to nonlinear equations
• Nsoliton solutions to the Bogoyavlenskii-Schiff equation and a quest for the soliton solution in (3 1) dimensions

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