A hierarchy of long wave-short wave type equations: quasi-periodic behavior of solutions and their representation
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Publication:4561351
DOI10.1080/14029251.2019.1544785zbMath1417.37252OpenAlexW2902926924MaRDI QIDQ4561351
Jiao Wei, Yunyun Zhai, Bo Xue, Xiangguo Geng
Publication date: 5 December 2018
Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/14029251.2019.1544785
Baker-Akhiezer functionquasiperiodic solutionsmeromorphic functionlong wave-short wave type equations
Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Theta functions and curves; Schottky problem (14H42)
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Rogue waves and breathers of the derivative Yajima-Oikawa long wave-short wave equations on theta-function backgrounds ⋮ Periodic-background solutions of Kadomtsev-Petviashvili I equation ⋮ Bilinear identities for the constrained modified KP hierarchy
Cites Work
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- Quasi-periodic solutions of the Kaup-Kupershmidt hierarchy
- A three-component generalization of Camassa-Holm equation with \(N\)-peakon solutions
- Quasi-periodic solutions of mixed AKNS equations
- Algebro-geometric constructions of the modified Boussinesq flows and quasi-periodic solutions
- Determinant formulae in abelian functions for a general trigonal curve of degree five
- On finite-zone solutions of relativistic Toda lattices
- Higher genus abelian functions associated with cyclic trigonal curves
- Hyperelliptic quasi-periodic and soliton solutions of the nonlinear Schrödinger equation
- On the Riemann theta function of a trigonal curve and solutions of the Boussinesq and KP equations
- Integration of nonlinear equations by the methods of algebraic geometry
- Monodromy of Boussinesq elliptic operators
- Lump solutions to nonlinear partial differential equations via Hirota bilinear forms
- The nonlinear steepest descent method to long-time asymptotics of the coupled nonlinear Schrödinger equation
- The periodic defocusing Ablowitz-Ladik equation and the geometry of Floquet CMV matrices
- Theta functions on Riemann surfaces
- Real trigonal curves and real elliptic surfaces of type I
- Algebro-geometric solutions of the coupled modified Korteweg-de Vries hierarchy
- Formation and Interaction of Sonic-Langmuir Solitons: Inverse Scattering Method
- Orbital stability of peakons for a generalization of the modified Camassa–Holm equation
- Theta functions and non-linear equations
- An extension of integrable peakon equations with cubic nonlinearity
- Integrable peakon equations with cubic nonlinearity
- A MATRIX ANALOGUE OF APPELL'S THEOREM AND REDUCTIONS OF MULTIDIMENSIONAL RIEMANN THETA-FUNCTIONS
- The Periodic Cubic Schrõdinger Equation
- Constraints of the Kadomtsev–Petviashvili hierarchy
- Rational and elliptic solutions of the korteweg-de vries equation and a related many-body problem
- The Complete Solution of the Long‐Wave–Short‐Wave Resonance Equations
- A New Approach to the Boussinesq Hierarchy
- Relation between the Kadometsev–Petviashvili equation and the confocal involutive system
- An integrable shallow water equation with peaked solitons
- Method for Solving the Korteweg-deVries Equation
- ALGEBRO-GEOMETRIC SOLUTIONS OF THE BOUSSINESQ HIERARCHY
- Trigonal curves and algebro-geometric solutions to soliton hierarchies I
- Trigonal curves and algebro-geometric solutions to soliton hierarchies II
- Dynamics of interlacing peakons (and shockpeakons) in the Geng–Xue equation
- Korteweg-de Vries Equation and Generalizations. I. A Remarkable Explicit Nonlinear Transformation
- An Inverse Spectral Problem Related to the Geng–Xue Two-Component Peakon Equation
- Algebro-geometric Quasi-periodic Solutions to the Three-Wave Resonant Interaction Hierarchy
- Real-valued algebro-geometric solutions of the Camassa–Holm hierarchy
- Uniformization of Jacobi varieties of trigonal curves and nonlinear differential equations
- Decomposition of the Discrete Ablowitz–Ladik Hierarchy
