Explicit exact traveling wave solutions and bifurcations of the generalized combined double \(\sinh\)-\(\cosh\)-Gordon equation

DOI10.1016/j.amc.2019.124576zbMath1433.35348OpenAlexW2964000622MaRDI QIDQ2286104

Bei Zhang, Yuzhen Bai, Wenjing Zhu, Yong-Hui Xia

Publication date: 9 January 2020

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2019.124576

zbMATH Keywords

bifurcationtraveling wavesolitary wave solutionperiodic wave solutionkink and anti-kink wave solution\(\sinh\)-Gordon equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Periodic solutions to PDEs (35B10) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Traveling wave solutions (35C07) Soliton solutions (35C08) Second-order semilinear hyperbolic equations (35L71)

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Cites Work

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• Stability and Hopf bifurcation in a model of gene expression with distributed time delays
• New exact double periodic wave and complex wave solutions for a generalized sinh-Gordon equation
• New exact solutions to sinh-cosh-Gordon equation by using techniques based on projective Riccati equations
• Traveling wave solutions to the \((n+1)\)-dimensional sinh-cosh-Gordon equation
• Exact solutions to the double sinh-Gordon equation by the tanh method and a variable separated ODE method
• Bifurcations of traveling wave solutions for Zhiber--Shabat equation
• Exact travelling wave solutions for the \((n + 1)\)-dimensional double sine- and sinh-Gordon equations
• Bifurcations of travelling wave solutions for the generalized double sinh-Gordon equation
• Qualitative behavior and exact travelling wave solutions of the Zhiber-Shabat equation
• The tanh method for travelling wave solutions to the Zhiber-Shabat equation and other related equations
• A variable separated ODE method for solving the triple sine-Gordon and the triple sinh-Gordon equations
• Bounded travelling wave solutions for the (\(n+1\))-dimensional sine- and sinh-Gordon equations
• The variable separated ODE and the tanh methods for solving the combined and the double combined sinh-cosh-Gordon equations
• The tanh method: exact solutions of the sine-Gordon and the sinh-Gordon equations
• Combined sinh-cosh-Gordon equation: Symmetry reductions, exact solutions and conservation laws
• Exact Solutions to a Combined sinh-cosh-Gordon Equation
• Representations and Classification of Traveling Wave Solutions to sinh-Gördon Equation
• Limit Cycles in a Model of Olfactory Sensory Neurons
• Exact Traveling Wave Solutions and Bifurcations of the Time-Fractional Differential Equations with Applications
• Deformed Sine- and Sinh-Gordon Equations, Deformed Liouville Equations, and Their Discrete Models

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