\(N\)-fold Darboux transformation and discrete soliton solutions for the discrete Hirota equation
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Publication:1680790
DOI10.1016/j.aml.2017.07.002zbMath1377.39013OpenAlexW2734922324MaRDI QIDQ1680790
Hui-Qin Hao, Rui Guo, Xiao-Juan Zhao
Publication date: 16 November 2017
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aml.2017.07.002
\(N\)-soliton solutions\(N\)-fold Darboux transformationdiscrete Hirota equationexplicit discrete solutions
Soliton equations (35Q51) Additive difference equations (39A10) Discrete version of topics in analysis (39A12) Partial difference equations (39A14)
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Cites Work
- Nonautonomous solitons and interactions for a variable-coefficient resonant nonlinear Schrödinger equation
- Darboux transformation and analytic solutions of the discrete \(\mathcal{PT}\)-symmetric nonlocal nonlinear Schrödinger equation
- Discrete Hirota equation: discrete Darboux transformation and new discrete soliton solutions
- N-fold Darboux transformation and soliton solutions for Toda lattice equation
- Modulation instability, conservation laws and soliton solutions for an inhomogeneous discrete nonlinear Schrödinger equation
- \(N\)-fold Darboux transformation and double-Wronskian-typed solitonic structures for a variable-coefficient modified Kortweg-de Vries equation
- Discretised Hirota equation, equivalent spin chain and Backlund transformations
- Application of Hirota's bilinear formalism to the Toeplitz lattice - some special soliton-like solutions
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