A four-component hierarchy of combined integrable equations with bi-Hamiltonian formulations
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Publication:6549097
DOI10.1016/j.aml.2024.109025zbMath1547.35635MaRDI QIDQ6549097
Publication date: 3 June 2024
Published in: Applied Mathematics Letters (Search for Journal in Brave)
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) NLS equations (nonlinear Schrödinger equations) (35Q55) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Soliton solutions (35C08) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)
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Related Items (5)
Auto-Bäcklund transformation with the solitons and similarity reductions for a generalized nonlinear shallow water wave equation ⋮ A combined Liouville integrable hierarchy associated with a fourth-order matrix spectral problem ⋮ Integrable couplings stemming from three-dimensional unital algebras ⋮ Novel integrable Hamiltonian hierarchies with six potentials ⋮ Inverse scattering transform for the defocusing-defocusing coupled Hirota equations with non-zero boundary conditions: multiple double-pole solutions
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