Integrable discretization of soliton equations via bilinear method and Bäcklund transformation
DOI10.1007/s11425-014-4952-6zbMath1309.37065arXiv1411.0476OpenAlexW2078421585MaRDI QIDQ2018922
Xing-Biao Hu, Xiang-Ke Chang, Ying-Nan Zhang, Juan Hu, Hon-Wah Tam
Publication date: 26 March 2015
Published in: Science China. Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1411.0476
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)
Related Items (7)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- S. V. Kovalevskaya system, its generalization and discretization
- Integrable discretization of nonlinear Schrödinger equation and its application with Fourier pseudo-spectral method
- Linear integral equations and nonlinear difference-difference equations
- Hirota equation as an example of an integrable symplectic map
- The problem of integrable discretization: Hamiltonian approach
- Remarks on the work ``Synthesis of discrete systems: certain nonstandard problems.
- Discrete integrable systems. Proceedings of the international CIMPA school, Pondicherry, India, February 2--14, 2003
- A fifth order semidiscrete mKdV equation
- A Differential-Difference Caudrey-Dodd-Gibbon-Kotera-Sawada Equation
- Nonlinear Partial Difference Equations. I. A Difference Analogue of the Korteweg-de Vries Equation
- Nonlinear Partial Difference Equations. II. Discrete-Time Toda Equation
- Nonlinear Partial Difference Equations III; Discrete Sine-Gordon Equation
- An Extension of Nonlinear Evolution Equations of the K-dV (mK-dV) Type to Higher Orders
- A generalized Davydov model with interspine coupling and its integrable discretization
- On the Hamiltonian structure of Hirota-Kimura discretization of the Euler top
- Nonlinear superposition formulae of the Ito equation and a model equation for shallow water waves
- A New Form of Backlund Transformations and Its Relation to the Inverse Scattering Problem
- An integrable semi-discretization of the Camassa–Holm equation and its determinant solution
- Integrable discretizations for the short-wave model of the Camassa–Holm equation
- Integrable semi-discretizations and full-discretization of the two-dimensional Leznov lattice
- Method for Generating Discrete Soliton Equation. III
- Method for Generating Discrete Soliton Equations. IV
- Bäcklund transformations and nonlinear differential difference equations
- Nonlinear differential difference equations as Backlund transformations
- Integrable three-dimensional lattices
- Decay mode solution of the two-dimensional KdV equation and the generalized Bäcklund transformation
- Nonlinear differential−difference equations
- Generating exactly soluble nonlinear discrete evolution equations by a generalized Wronskian technique
- A two-parameter Backlund transformation for the Boussinesq equation
- Loop groups and discrete KdV equations
- Discrete analogues of the generalized coupled integrable dispersionless equations
- Bäcklund transformations and nonlinear superposition formulae of a differential-difference KdV equation
- On the Discretization of the Coupled Integrable Dispersionless Equations
- Integrable discretizations of the short pulse equation
- Integrable discretization of ‘time’ and its application on the Fourier pseudospectral method to the Korteweg–de Vries equation
This page was built for publication: Integrable discretization of soliton equations via bilinear method and Bäcklund transformation
