A new sine-Gordon equation expansion algorithm to investigate some special nonlinear differential equations
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Publication:1771664
DOI10.1016/j.chaos.2004.05.003zbMath1069.35077OpenAlexW1968573785WikidataQ115359433 ScholiaQ115359433MaRDI QIDQ1771664
Publication date: 18 April 2005
Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.chaos.2004.05.003
KdV equations (Korteweg-de Vries equations) (35Q53) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)
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Cites Work
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- The new extended Jacobian elliptic function expansion algorithm and its applications in nonlinear mathematical physics equations
- Generalized method and its application in the higher-order nonlinear Schrödinger equation in nonlinear optical fibres.
- A new algebraic method for finding the line soliton solutions and doubly periodic wave solution to a two-dimensional perturbed KdV equation.
- A sinh-Gordon equation expansion method to construct doubly periodic solutions for nonlinear differential equations.
- Applications of the Jacobi elliptic function method to special-type nonlinear equations
- A simple transformation for nonlinear waves.
- Explicit and exact solutions to a Kolmogorov-Petrovskii-Piskunov equation
- Extended tanh-function method and its applications to nonlinear equations
- Link between solitary waves and projective Riccati equations
- New explicit solitary wave solutions and periodic wave solutions for Whitham-Broer-Kaup equation in shallow water
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