Lax pair, Bäcklund transformation and conservation laws for the \((2 + 1)\)-dimensional extended shallow water wave equation
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Publication:1643727
DOI10.1016/j.compfluid.2013.10.039zbMath1391.76072OpenAlexW1981632552MaRDI QIDQ1643727
Publication date: 19 June 2018
Published in: Computers and Fluids (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.compfluid.2013.10.039
Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60)
Related Items (6)
Bäcklund transformation and multi-soliton solutions for the (3+1)-dimensional BKP equation with Bell polynomials and symbolic computation ⋮ Integrability of a generalized (2+1)-dimensional soliton equation via Bell polynomials ⋮ Wronskian, Pfaffian and periodic wave solutions for a \((2 + 1)\)-dimensional extended shallow water wave equation ⋮ Bilinear representation, bilinear Bäcklund transformation, Lax pair and analytical solutions for the fourth-order potential Ito equation describing water waves via Bell polynomials ⋮ Solitonic properties for a forced generalized variable-coefficient Korteweg-de Vries equation for the atmospheric blocking phenomenon ⋮ Integrability characteristics of a novel (2+1)-dimensional nonlinear model: Painlevé analysis, soliton solutions, Bäcklund transformation, Lax pair and infinitely many conservation laws
Cites Work
- Unnamed Item
- The integrability of nonisospectral and variable-coefficient KdV equation with binary Bell polynomials
- Bäcklund transformations and abundant exact explicit solutions of the Sharma-Tasso-Olver equation
- Darboux transformation and explicit solutions for the integrable sixth-order KdV equation for nonlinear waves
- The Hirota's bilinear method and the tanh-coth method for multiple-soliton solutions of the Sawada-Kotera-Kadomtsev-Petviashvili equation
- Soliton equations and simple combinatorics
- Painlevé analysis and new analytic solutions for variable-coefficient Kadomtsev-Petviashvili equation with symbolic computation
- Bäcklund transformations and their applications
- Exponential polynomials
- New exact solutions and conservation laws of a coupled Kadomtsev-Petviashvili system
- Nonlinear Evolution Equations Generated from the Backlund Transformation for the Boussinesq Equation
- On the combinatorics of the HirotaD-operators
- A New Form of Backlund Transformations and Its Relation to the Inverse Scattering Problem
- Painleve analysis of the non-linear Schrodinger family of equations
- Exact solutions of shallow water wave equations by using the -expansion method
- Exact envelope-soliton solutions of a nonlinear wave equation
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