Stability of negative solitary waves for an integrable modified Camassa-Holm equation

Journal Article · Sat May 15 00:00:00 EDT 2010 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.3407598· OSTI ID:21335969

Jiuli, Yin; Lixin, Tian; Xinghua, Fan ^[1]

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1. Nonlinear Scientific Research Center, Faculty of Science, Jiangsu University, Zhenjiang, Jiangsu 212013 (China)

In this paper, we prove that the modified Camassa-Holm equation is Painleve integrable. We also study the orbital stability problem of negative solitary waves for this integrable equation. It is shown that the negative solitary waves are stable for arbitrary wave speed of propagation.

• OSTI ID: 21335969
• Journal Information: Journal of Mathematical Physics, Vol. 51, Issue 5; Other Information: DOI: 10.1063/1.3407598; (c) 2010 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
INTEGRAL CALCULUS
INTEGRAL EQUATIONS
NONLINEAR PROBLEMS
SOLITONS
STABILITY
WAVE EQUATIONS
WAVE PROPAGATION