AN APPLICATION OF THE CASORATIAN TECHNIQUE TO THE 2D TODA LATTICE EQUATION
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Publication:3542883
DOI10.1142/S0217984908016492zbMath1153.82310arXiv0804.0631OpenAlexW3105496272MaRDI QIDQ3542883
Publication date: 1 December 2008
Published in: Modern Physics Letters B (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0804.0631
KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)
Related Items (20)
The modified two-dimensional Toda lattice with self-consistent sources ⋮ A new variable-coefficient Riccati subequation method for solving nonlinear lattice equations ⋮ Two-periodic waves and asymptotic property for generalized 2D Toda lattice equation ⋮ Solving the \((3+1)\)-dimensional generalized KP and BKP equations by the multiple exp-function algorithm ⋮ Wronskian solutions and integrability for a generalized variable-coefficient forced Korteweg-de Vries equation in fluids ⋮ Fully resonant soliton interactions in the Whitham-Broer-Kaup system based on the double Wronskian solutions ⋮ Component-trace identities for Hamiltonian structures ⋮ The modified semi-discrete two-dimensional Toda lattice with self-consistent sources ⋮ Exact periodic wave solutions for the differential-difference KP equation ⋮ TOPOLOGICAL 1-SOLITON SOLUTION OF THE GENERALIZED RADHAKRISHNAN, KUNDU, LAKSHMANAN EQUATION WITH NONLINEAR DISPERSION ⋮ Wronskian and Grammian solutions to a \((3 + 1)\)-dimensional generalized KP equation ⋮ Multi-soliton and double Wronskian solutions of a \((2+1)\)-dimensional modified Heisenberg ferromagnetic system ⋮ VARIABLE SEPARATION AND ALGEBRAIC-GEOMETRIC SOLUTIONS OF MODIFIED TODA LATTICE EQUATION ⋮ New form \((2+1)\)-dimensional integrable lattice hierarchies with two shift operators Ẽ and Ê ⋮ Quasi-periodic wave solution and asymptotic behavior for the \((2+1)\)-dimensional Toda lattice equation ⋮ CASORATIAN SOLUTIONS AND NEW SYMMETRIES OF THE DIFFERENTIAL-DIFFERENCE KADOMTSEV–PETVIASHVILI EQUATION ⋮ Soliton solutions for a negative order non-isospectral AKNS equation ⋮ HE'S HOMOTOPY PERTURBATION METHOD FOR A GENERAL RICCATI EQUATION ⋮ Mixed lump-soliton solutions to the two-dimensional Toda lattice equation via symbolic computation ⋮ Direct search for exact solutions to the nonlinear Schrödinger equation
Cites Work
- 2D Toda lattice equation with self-consistent sources: Casoratian type solutions, bilinear Bäcklund transformation and Lax pair
- Complexiton solutions to integrable equations
- Wronskians, generalized Wronskians and solutions to the Korteweg-de Vries equation
- Complexiton solutions to the Korteweg-de Vries equation
- Rational solutions of the Toda lattice equation in Casoratian form
- Pfaffianization of the two-dimensional Toda lattice
- Complexiton solutions of the Korteweg-de Vries equation with self-consistent sources
- Wronskian solutions of the Boussinesq equation—solitons, negatons, positons and complexitons
- Negaton and positon solutions of the KdV and mKdV hierarchy
- Solving the Korteweg-de Vries equation by its bilinear form: Wronskian solutions
- Generalized Casorati Determinant and Positon–Negaton-Type Solutions of the Toda Lattice Equation
- Pfaffianization of the Differential-Difference KP Equation
- Positons for the Toda lattice and related spectral problems
- Exact Solutions for the Nonisospectral Kadomtshev–Petviashvili Equation
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