The determinant representation of an N-fold Darboux transformation for the short pulse equation

DOI10.1080/14029251.2017.1306947zbMath1420.35293OpenAlexW2601899746MaRDI QIDQ5231064

Deqin Qiu, Wei Liu, Shuzhi Liu, Lihong Wang, Jing-Song He

Publication date: 29 August 2019

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/14029251.2017.1306947

zbMATH Keywords

hodograph transformationsolitonDarboux transformationshort pulse equation

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Soliton equations (35Q51) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Soliton solutions (35C08)

Related Items (5)

The loop rogue wave solutions for the Wadati–Konno–Ichikawa equation ⋮ Interaction behaviors between solitons, breathers and their hybrid forms for a short pulse equation ⋮ Multisoliton solutions of the Degasperis-Procesi equation and its shortwave limit: Darboux transformation approach ⋮ Darboux transformation and general soliton solutions for the reverse space-time nonlocal short pulse equation ⋮ Bäcklund transformation and nonlinear superposition formula for the two-component short pulse equation

Uses Software

• PSEUDO

Cites Work

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