Gauge transformation between the first-order nonisospectral and isospectral Heisenberg hierarchies
DOI10.1016/j.amc.2012.01.018zbMath1253.35008OpenAlexW2016730446MaRDI QIDQ419510
Rui Guo, Hong-Zhe Li, Yu-Shan Xue, Bo Tian, Feng-Hua Qi
Publication date: 18 May 2012
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2012.01.018
symbolic computationgauge transformationHeisenberg systemfirst-order nonisospectral Heisenberg hierarchyisospectral Heisenberg hierarchy
Symbolic computation and algebraic computation (68W30) Geometric theory, characteristics, transformations in context of PDEs (35A30)
Related Items (3)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Wronskian solutions and integrability for a generalized variable-coefficient forced Korteweg-de Vries equation in fluids
- Symbolic computation on cylindrical-modified dust-ion-acoustic nebulons in dusty plasmas
- Variable-coefficient higher-order nonlinear Schrödinger model in optical fibers: variable-coefficient bilinear form, Bäcklund transformation, Brightons and symbolic computation
- Symbolic-computation study of the perturbed nonlinear Schrödinger model in inhomogeneous optical fibers
- Transformations for a generalized variable-coefficient Korteweg-de Vries model from blood vessels, Bose-Einstein condensates, rods and positons with symbolic computation
- Inverse scattering method with variable spectral parameter
- Painlevé expansions for nonintegrable evolution equations
- Painlevé analysis and special solutions of generalized Broer-Kaup equations
- On the transformations of the potentials, integrable evolution equations and Bäcklund transformations
- The transformation operator I of nonlinear evolution equations
- Comment on: ``Spherical Kadomtsev-Petviashvili equation and nebulons for dust ion-acoustic waves with symbolic computation
- Reply to: ``Comment on: `Spherical Kadomtsev-Petviashvili equation and nebulons for dust ion-acoustic waves with symbolic computation' [Phys. Lett. A 361 (2007) 520]
- Gauge transform between the first order nonisospectral AKNS hierarchy and AKNS hierarchy
- On the solitonic structures of the cylindrical dust-acoustic and dust-ion-acoustic waves with symbolic computation
- Painlevé test for some \((2+1)\)-dimensional nonlinear equations
- Simple Derivation of Backlund Transformation from Riccati Form of Inverse Method
- Relationships among Inverse Method, Backlund Transformation and an Infinite Number of Conservation Laws
- Wave Propagation in Nonlinear Lattice. I
- New Integrable Nonlinear Evolution Equations
- Nonlinear-Evolution Equations of Physical Significance
- Inelastic interactions and double Wronskian solutions for the Whitham–Broer–Kaup model in shallow water
- An exact solution for a derivative nonlinear Schrödinger equation
- The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
- delta -dressing and exact solutions for the (2+1)-dimensional Harry Dym equation
- Gauge transformations and symmetries of integrable systems
This page was built for publication: Gauge transformation between the first-order nonisospectral and isospectral Heisenberg hierarchies