Solving the modified complex short pulse equation of focusing type: a Riemann-Hilbert approach

DOI10.1007/s13324-021-00637-7OpenAlexW4206254496WikidataQ114220024 ScholiaQ114220024MaRDI QIDQ2066348

Yanyan Li

Publication date: 14 January 2022

Published in: Analysis and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13324-021-00637-7

zbMATH Keywords

Riemann-Hilbert problemsoliton solutionsLax pairsmodified complex short pulse equation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Soliton equations (35Q51) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Riemann-Hilbert problems in context of PDEs (35Q15) Soliton solutions (35C08)

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The initial-boundary value problems of the new two-component generalized Sasa-Satsuma equation with a \(4\times 4\) matrix Lax pair ⋮ Inverse scattering transform for the coupled modified complex short pulse equation: Riemann-Hilbert approach and soliton solutions ⋮ Multiple higher-order pole solutions of modified complex short pulse equation

Cites Work

• Riemann-Hilbert approach for the Camassa-Holm equation on the line
• Long-time asymptotics for the short pulse equation
• Complex short pulse and coupled complex short pulse equations
• Propagation of ultra-short optical pulses in cubic nonlinear media
• On two new types of modified short pulse equation
• Transformation and integrability of a generalized short pulse equation
• Long-time asymptotic behavior for the complex short pulse equation
• The short pulse equation by a Riemann-Hilbert approach
• Multi-soliton, multi-breather and higher order rogue wave solutions to the complex short pulse equation
• Integrable multi-component generalization of a modified short pulse equation
• The short-wave model for the Camassa–Holm equation: a Riemann–Hilbert approach
• Multi-soliton solutions and the Cauchy problem for a two-component short pulse system
• The Short Pulse Equation Is Integrable
• The short pulse equation: Bäcklund transformations and applications
• The Ostrovsky–Vakhnenko equation by a Riemann–Hilbert approach
• A modified complex short pulse equation of defocusing type
• A Riemann–Hilbert approach for the Degasperis–Procesi equation
• A Riemann–Hilbert approach for the modified short pulse equation