Stability in H{sup 1/2} of the sum of K solitons for the Benjamin-Ono equation

Journal Article · Thu Jan 15 00:00:00 EST 2009 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.3032578· OSTI ID:21175895

Gustafson, Stephen; Tsai, Tai-Peng ^[1]; Takaoka, Hideo ^[2]

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1. Department of Mathematics, University of British Columbia, 1984 Mathematics Road, Vancouver, BC V6T 1Z2 (Canada)
2. Department of Mathematics, Hokkaido University, Kita 10, Nishi 8, Kita-Ku, Sapporo, Hokkaido, 060-0810 (Japan)

This note proves the orbital stability in the energy space H{sup 1/2} of the sum of widely spaced 1-solitons for the Benjamin-Ono equation, with speeds arranged so as to avoid collisions.

• OSTI ID: 21175895
• Journal Information: Journal of Mathematical Physics, Vol. 50, Issue 1; Other Information: DOI: 10.1063/1.3032578; (c) 2009 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
EQUATIONS
SOLITONS
STABILITY