Discrete rational and breather solution in the spatial discrete complex modified Korteweg-de Vries equation and continuous counterparts

DOI10.1063/1.4982204zbMath1387.37068OpenAlexW2609697313WikidataQ47866831 ScholiaQ47866831MaRDI QIDQ4642577

Guo-Fu Yu, Hai-Qiong Zhao

Publication date: 23 May 2018

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.4982204

zbMATH Keywords

conservation lawDarboux transformationLax pair

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Discrete version of topics in analysis (39A12) Chaotic behavior of solutions of difference equations (39A33)

Related Items

Soliton, breather, rogue wave and continuum limit in the discrete complex modified Korteweg-de Vries equation by Darboux-Bäcklund transformation, Breather and rogue wave solutions for the generalized discrete Hirota equation via Darboux-Bäcklund transformation, Rational soliton solutions in the nonlocal coupled complex modified Korteweg-de Vries equations, The complex MKDV equation with step-like initial data: Large time asymptotic analysis, A generalized integrable lattice hierarchy related to the Ablowitz–Ladik lattice: Conservation law, Darboux transformation and exact solution, Periodic waves in the discrete mKdV equation: modulational instability and rogue waves, The bound-state soliton solutions of the complex modified KdV equation, Abundant exact solutions to the discrete complex mKdV equation by Darboux transformation

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