Oscillatory solitons of U(1)-invariant mKdV equations. I. Envelope speed and temporal frequency

DOI10.1063/1.4934237zbMath1331.35298arXiv1406.6630OpenAlexW1923176109MaRDI QIDQ3450534

Stephen C. Anco, Abdus Sattar Mia, Mark Willoughby

Publication date: 6 November 2015

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

Full work available at URL: https://arxiv.org/abs/1406.6630

zbMATH Keywords

soliton solutionsmodified Korteweg-de Vries equationHirota equationSasa-Satsuma equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Soliton solutions (35C08)

Related Items (2)

Oscillatory solitons of U(1)-invariant mKdV equations. I. Envelope speed and temporal frequency ⋮ Oscillatory solitons of U(1)-invariant modified Korteweg-de Vries equations. II. Asymptotic behavior and constants of motion

Cites Work

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• Interaction properties of complex modified Korteweg-de Vries (mKdV) solitons
• The Modified Korteweg-de Vries Equation
• Oscillatory solitons of U(1)-invariant mKdV equations. I. Envelope speed and temporal frequency
• Prolongation structures of a higher-order nonlinear Schrodinger equation
• New-Type of Soliton Solutions for a Higher-Order Nonlinear Schrödinger Equation
• Soliton solutions for a perturbed nonlinear Schrodinger equation
• Painlevé Analysis of a Higher-Order Nonlinear Schrödinger 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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