Proliferation scheme for Kaup-Boussinesq system

DOI10.1016/S0167-2789(01)00163-4zbMath0977.35136OpenAlexW1968493231MaRDI QIDQ5940202

Alexander B. Borisov, Sergei A. Zykov, Maxim P. Pavlov

Publication date: 29 July 2001

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-2789(01)00163-4

zbMATH Keywords

inverse scattering transformDarboux transformationBäcklund transformationdispersive water wave systemKaup-Boussinesq systemLax pairMiura map

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items (6)

On the (non)removability of spectral parameters in \(\mathbb{Z}_{2}\)-graded zero-curvature representations and its applications ⋮ Solitary-wave solutions to a dual equation of the Kaup-Boussinesq system ⋮ Bifurcations and Exact Solutions of Generalized Two-Component Peakon Type Dual Systems ⋮ Systematic method of generating new integrable systems via inverse Miura maps ⋮ Exact dynamical behavior for a dual Kaup-Boussinesq system by symmetry reduction and coupled trial equations method ⋮ Integrable discretizations for classical Boussinesq system

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• SOLITON EIGENFUNCTION EQUATIONS: THE IST INTEGRABILITY AND SOME PROPERTIES
• The symmetry approach to the classification of non-linear equations. Complete lists of integrable systems
• Prolongation structures of nonlinear evolution equations. II

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