SYMBOLIC COMPUTATION OF BÄCKLUND TRANSFORMATION AND EXACT SOLUTIONS TO THE VARIANT BOUSSINESQ MODEL FOR WATER WAVES
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Publication:4488302
DOI10.1142/S0129183199000784zbMath0966.76077OpenAlexW2044571659MaRDI QIDQ4488302
Publication date: 5 July 2000
Published in: International Journal of Modern Physics C (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0129183199000784
symbolic computationsolitonexact analytical solutionswater wavesBoussinesq modelself-similar Bäcklund transform
Symbolic computation and algebraic computation (68W30) PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Dimensional analysis and similarity applied to problems in fluid mechanics (76M55) Soliton equations (35Q51)
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Cites Work
- Symbolic methods to construct exact solutions of nonlinear partial differential equations
- Generalized variable-coefficient KP equation
- Computer algebra in gravity: Reduce-Excalc programs for (non-)Riemannian space-times. I
- Evolution of solitary waves in multicomponent plasmas
- Symbolic software for soliton theory
- New explicit and exact travelling wave solutions for a system of variant Boussinesq equations in mathematical physics
- Auto-Bäcklund transformation and two families of analytical solutions to the \((2+1)\)-dimensional soliton breaking equation.
- The Painlevé property for partial differential equations. II: Bäcklund transformation, Lax pairs, and the Schwarzian derivative
- The Painlevé property for partial differential equations
- Exact Solutions of (2+1)-Dimensional Soliton Equations Applying SymbolicC++