Bilinear form and new multi-soliton solutions of the classical Boussinesq-Burgers system
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Publication:274255
DOI10.1016/j.aml.2016.02.015zbMath1338.35102OpenAlexW2289957835MaRDI QIDQ274255
Publication date: 22 April 2016
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aml.2016.02.015
asymptotic analysisbilinear formHirota bilinear methodshallow water wavesmulti-soliton solutionsclassical Boussinesq-Burgers systeminteractions of multi-soliton solutions
Related Items (12)
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Cites Work
- Unnamed Item
- \(N\)-fold Darboux transformation and multi-soliton solutions for the classical Boussinesq-Burgers system
- A few Lie algebras and their applications for generating integrable hierarchies of evolution types
- Lax pair, Bäcklund transformation and multi-soliton solutions for the Boussinesq-Burgers equations from shallow water waves
- Darboux transformation and multi-soliton solutions of Boussinesq-Burgers equation
- Darboux transformations of classical Boussinesq system and its new solutions
- Comparison between homotopy perturbation method and optimal homotopy asymptotic method for the soliton solutions of Boussinesq-Burger equations
- Soliton dynamics of a discrete integrable Ablowitz-Ladik equation for some electrical and optical systems
- CTE method to the interaction solutions of Boussinesq-Burgers equations
- Soliton resonances for the good Boussinesq equation
- Darboux Transformations and Soliton Solutions for Classical Boussinesq–Burgers Equation
- Finite-band solutions of the classical Boussinesq–Burgers equations
- Integrals of nonlinear equations of evolution and solitary waves
- Darboux transformations of classical Boussinesq system and its multi-soliton solutions
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