On the integration of the hierarchy of the Kaup-Boussinesq system with a self-consistent source
DOI10.1134/s1995080224603953MaRDI QIDQ6649064
F. B. Abdikarimov, F. U. Sulaymonov, Bazar A. Babajanov
Publication date: 5 December 2024
Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)
inverse scattering methodself-consistent sourcenonlinear soliton equationhierarchy of Kaup-Boussinesq systemone-dimensional Schrödinger equation with energy-dependent potential
PDEs in connection with fluid mechanics (35Q35) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Solitary waves for incompressible inviscid fluids (76B25) Scattering theory for PDEs (35P25) Sturm-Liouville theory (34B24) NLS equations (nonlinear Schrödinger equations) (35Q55) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Soliton solutions (35C08)
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