Real finite-gap regular solutions of the Kaup-Boussinesq equation
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Publication:1089838
DOI10.1007/BF01028935zbMath0621.35091OpenAlexW1965033817WikidataQ57936940 ScholiaQ57936940MaRDI QIDQ1089838
Publication date: 1986
Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01028935
Integral representations of solutions to PDEs (35C15) Partial differential equations of mathematical physics and other areas of application (35Q99)
Related Items (27)
The AKNS hierarchy and finite-gap Schrödinger potentials ⋮ Solutions to the Kaup-Broer system and its \((2+1)\) dimensional integrable generalization via the dressing method ⋮ The Riemann theta function solutions for the hierarchy of Bogoyavlensky lattices ⋮ Trigonal curves and algebro-geometric solutions to soliton hierarchies I ⋮ Algebro-geometric constructions of the Heisenberg hierarchy ⋮ Quasiperiodic solutions of the Kadomtsev-Petviashvili equation via the multidimensional Baker-Akhiezer function generated by the Broer-Kaup hierarchy ⋮ Integration of the Kaup-Boussinesq system with time-dependent coefficients ⋮ Quasi-periodic solutions of the Belov–Chaltikian lattice hierarchy ⋮ Integration of equations of Kaup system kind with self-consistent source in class of periodic functions ⋮ A note on the quasi-periodic solutions of the modified Boussinesq hierarchy ⋮ Algebro-geometric solutions of (2+1)-dimensional coupled modified Kadomtsev–Petviashvili equations ⋮ Finite-band solutions for the hierarchy of coupled Toda lattices ⋮ Application of the trigonal curve to the Blaszak-Marciniak lattice hierarchy ⋮ The application of trigonal curve to the Mikhailov-Shabat-Sokolov flows ⋮ The application of the theory of trigonal curves to the discrete coupled nonlinear Schrödinger hierarchy ⋮ Solitary-wave solutions to a dual equation of the Kaup-Boussinesq system ⋮ Algebro-geometric constructions of the modified Boussinesq flows and quasi-periodic solutions ⋮ Bifurcations and Exact Solutions of Generalized Two-Component Peakon Type Dual Systems ⋮ Quasi-periodic solutions of the Heisenberg hierarchy ⋮ Algebro-geometric solutions to the Manakov hierarchy ⋮ Finite-band solutions of the classical Boussinesq–Burgers equations ⋮ A characterization of all elliptic algebro-geometric solutions of the AKNS hierarchy ⋮ Unnamed Item ⋮ Three-sheeted Riemann surface and solutions of the Itoh–Narita–Bogoyavlensky lattice hierarchy ⋮ A New Approach to the Boussinesq Hierarchy ⋮ 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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