Darboux transformation and soliton solutions of the spatial discrete coupled complex short pulse equation
DOI10.1016/j.physd.2022.133312zbMath1495.37061OpenAlexW4225269075MaRDI QIDQ2150403
Publication date: 27 June 2022
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.physd.2022.133312
asymptotic behaviorsoliton solutionsDarboux transformationinteraction of solitonsdiscrete short pulse equation
NLS equations (nonlinear Schrödinger equations) (35Q55) Discrete version of topics in analysis (39A12) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Integrable difference and lattice equations; integrability tests (39A36)
Related Items (3)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Darboux transformations for a Lax integrable system in \(2n\) dimensions
- Self-adaptive moving mesh schemes for short pulse type equations and their Lax pairs
- Some periodic and solitary travelling-wave solutions of the short-pulse equation
- On the continuous limit of integrable lattices. I: The Kac-Moerbeke system and KdV theory
- Applications of Darboux transformations to the self-dual Yang-Mills equations
- Complex short pulse and coupled complex short pulse equations
- Propagation of ultra-short optical pulses in cubic nonlinear media
- A fifth order semidiscrete mKdV equation
- Binary Darboux transformation for general matrix mKdV equations and reduced counterparts
- Long-time asymptotic behavior for the complex short pulse equation
- Soliton solutions of the semi-discrete complex coupled dispersionless integrable system
- The bi-Hamiltonian structure of the short pulse equation
- Multi-soliton, multi-breather and higher order rogue wave solutions to the complex short pulse equation
- From the Real and Complex Coupled Dispersionless Equations to the Real and Complex Short Pulse Equations
- Nonlinear Partial Difference Equations. I. A Difference Analogue of the Korteweg-de Vries Equation
- Nonlinear Partial Difference Equations III; Discrete Sine-Gordon Equation
- Higher-order corrections to the short-pulse equation
- Ultra-short pulses in linear and nonlinear media
- Discrete integrable systems and hodograph transformations arising from motions of discrete plane curves
- Binary Darboux Transformation for the Supersymmetric Principal Chiral Field Model
- The short pulse hierarchy
- Binary Darboux transformation for the Sasa–Satsuma equation
- Nonlinear differential−difference equations
- Nonlinear differential–difference equations and Fourier analysis
- A Generalization of Coupled Integrable, Dispersionless System
- The Short Pulse Equation Is Integrable
- A coupled focusing-defocusing complex short pulse equation: Multisoliton, breather, and rogue wave
- Integrable discretization of the modified KdV equation and applications
- Integrable semi-discretization of a multi-component short pulse equation
- Integrable discretizations of the short pulse equation
- Solitary wave solutions of the short pulse equation
- Periodic solutions of the short pulse model equation
This page was built for publication: Darboux transformation and soliton solutions of the spatial discrete coupled complex short pulse equation