Bäcklund transformation and exact solutions for Whitham-Broer-Kaup equations in shallow water
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Publication:1289419
DOI10.1007/BF02457745zbMath0922.35152MaRDI QIDQ1289419
Publication date: 31 May 1999
Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)
heat equationexact solutionBurgers equationBäcklund transformationssolitary wave solutionsWhitham-Broer-Kaup equations
KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Soliton equations (35Q51)
Related Items (12)
On the numerical solution of the Burgers's equation ⋮ New groups of solutions to the Whitham-Broer-Kaup equation ⋮ Riemann theta solutions and their asymptotic property for a \((3+1)\)-dimensional water wave equation ⋮ Painlevé analysis, auto-Bäcklund transformations and exact solutions for a simplified model for reacting mixtures ⋮ New families of nontravelling wave solutions to a new (3+1)-dimensional potential-YTSF equation ⋮ New examples of the auto-Bäcklund transformations and nonlinear superposition formulas for vector evolution systems ⋮ New explicit solitary wave solutions and periodic wave solutions for Whitham-Broer-Kaup equation in shallow water ⋮ Symmetry analysis for Whitham-Broer-Kaup equations ⋮ Application of exp-function method to the Whitham-Broer-Kaup shallow water model using symbolic computation ⋮ On a new algorithm of constructing solitary wave solutions for systems of nonlinear evolution in mathematical physics ⋮ Solitonic solutions for a variable-coefficient variant Boussinesq system in the long gravity waves ⋮ New explicit solitary wave solutions for \((2+1)\)-dimensional Boussinesq equation and \((3+1)\)-dimensional KP equation
Cites Work
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