Bifurcations of traveling wave solutions for Dodd-Bullough-Mikhailov equation and coupled Higgs equation and their applications

DOI10.1016/j.cjph.2017.07.005MaRDI QIDQ6151087

Dianchen Lu, Mostafa M. A. Khater, Aly R. Seadawy

Publication date: 7 March 2024

Published in: Chinese Journal of Physics (Taipei) (Search for Journal in Brave)

zbMATH Keywords

traveling wave solutionssolitary wave solutionscoupled Higgs equationDodd-Bullough-Mikhailov equationmodified extended tanh-function methoddark and Bell soliton solutions

Mathematics Subject Classification ID

Partial differential equations of mathematical physics and other areas of application (35Qxx) Representations of solutions to partial differential equations (35Cxx) General topics in partial differential equations (35Axx)

Related Items (4)

On highly dimensional elastic and nonelastic interaction between internal waves in straight and varying cross-section channels ⋮ New solitary wave solutions of some nonlinear models and their applications ⋮ Structure of solitary wave solutions of the nonlinear complex fractional generalized Zakharov dynamical system ⋮ Dispersive analytical soliton solutions of some nonlinear waves dynamical models via modified mathematical methods

Cites Work

• Unnamed Item
• Application of the \((\frac{G'}{G})\)-expansion method for the Zhiber-Shabat equation and other related equations
• Exact solutions of a two-dimensional nonlinear Schrödinger equation
• 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
• Exact solutions of the coupled Higgs equation and the Maccari system using He's semi-inverse method and \((\frac{G'}{G})\)-expansion method
• Modified simple equation method for nonlinear evolution equations
• Nonlinear sigma model for the Dodd-Bullough equation
• Jacobian elliptic function method for nonlinear differential-difference equations
• The extended tanh method for abundant solitary wave solutions of nonlinear wave equations
• Exp-function method for nonlinear wave equations
• Stability analysis of solitary wave solutions for the fourth-order nonlinear Boussinesq water wave equation
• A sine-cosine method for handling nonlinear wave equations
• New exact Jacobi elliptic function solutions for the coupled Schrödinger-Boussinesq equations
• The improved F-expansion method and its applications
• A simple transformation for nonlinear waves.
• Fractional solitary wave solutions of the nonlinear higher-order extended KdV equation in a stratified shear flow. I
• A note on the homogeneous balance method
• The extended \(F\)-expansion method and its application for a class of nonlinear evolution equations
• The \(\tan h\) method: solitons and periodic solutions for the Dodd-Bullough-Mikhailov and the Tzitzeica-Dodd-Bullough equations
• Extended tanh-function method and its applications to nonlinear equations
• Exact solutions for nonlinear partial differential equations via Exp-function method
• Solitary wave solutions of nonlinear wave equations
• The tanh method: I. Exact solutions of nonlinear evolution and wave equations
• WHITE NOISE FUNCTIONAL SOLUTIONS FOR THE WICK-TYPE STOCHASTIC FRACTIONAL KDV-BURGERS-KURAMOTO EQUATIONS WITH TIME-FRACTIONAL DERIVATIVES
• Modified extended tanh-function method for solving nonlinear partial differential equations
• Jacobi elliptic function expansion method and periodic wave solutions of nonlinear wave equations

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