Elliptic soliton solutions: \(\tau\) functions, vertex operators and bilinear identities
DOI10.1007/s00332-022-09835-4zbMath1503.37075arXiv2204.01240OpenAlexW4225590887MaRDI QIDQ2164993
Publication date: 18 August 2022
Published in: Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2204.01240
Weierstrass functionvertex operatorbilinear identity\(\tau\) functionLamé functionelliptic soliton solution
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Soliton equations (35Q51) 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) Traveling wave solutions (35C07) Soliton solutions (35C08)
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Cites Work
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- On elliptic Lax pairs and isomonodromic deformation systems for elliptic lattice equations
- Solitons and infinite dimensional Lie algebras
- Vertex operators and \(\tau\)-functions. Transformation groups for soliton equations. II
- Transformation groups for soliton equations. Euclidean Lie algebras and reduction of the KP hierarchy
- Periodic problems for the Korteweg-de Vries equation in the class of finite band potentials
- Construction of the affine Lie algebra \(A^{(1)}_1\)
- Exponential polynomials
- Classification of integrable equations on quad-graphs. The consistency approach
- The discrete Korteweg-de Vries equation
- Discrete Systems and Integrability
- Solutions to the modified Korteweg–de Vries equation
- Elliptic N-soliton Solutions of ABS Lattice Equations
- On the combinatorics of the HirotaD-operators
- A New Form of Backlund Transformations and Its Relation to the Inverse Scattering Problem
- Soliton solutions for ABS lattice equations: II. Casoratians and bilinearization
- Method for Generating Discrete Soliton Equation. III
- Method for Generating Discrete Soliton Equations. IV
- Vertex representations of quantum affine algebras
- Rational and elliptic solutions of the korteweg-de vries equation and a related many-body problem
- On a direct bilinearization method: Kaup's higher-order water wave equation as a modified nonlocal Boussinesq equation
- Elliptic (N, N′)-soliton solutions of the lattice Kadomtsev-Petviashvili equation
- 30 years of finite-gap integration theory
