Oscillatory solitons of U(1)-invariant modified Korteweg-de Vries equations. II. Asymptotic behavior and constants of motion

DOI10.1063/1.4935297zbMath1346.35176arXiv1406.6636OpenAlexW294291117MaRDI QIDQ3463231

Stephen C. Anco, Abdus Sattar Mia, Mark Willoughby

Publication date: 12 January 2016

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

Full work available at URL: https://arxiv.org/abs/1406.6636

zbMATH Keywords

Hirota equationSasa-Satsuma equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) 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) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Traveling wave solutions (35C07) Soliton solutions (35C08) Symmetries, invariants, etc. in context of PDEs (35B06)

Related Items (1)

Integrable \(U(1)\)-invariant peakon equations from the NLS hierarchy

Cites Work

• Interaction properties of complex modified Korteweg-de Vries (mKdV) solitons
• Traveling waves and conservation laws for complex mKdV-type equations
• Oscillatory solitons of U(1)-invariant mKdV equations. I. Envelope speed and temporal frequency
• New-Type of Soliton Solutions for a Higher-Order Nonlinear Schrödinger Equation
• Soliton solutions for a perturbed nonlinear Schrodinger equation
• The Riemann problem method for solving a perturbed nonlinear Schrodinger equation describing pulse propagation in optic fibres
• Exact envelope-soliton solutions of a nonlinear wave equation

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