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Long‐time asymptotics of non‐decaying solutions of the (2+1)‐dimensional Gardner equation

Article type: Research Article

Authors: Anders, I.

Affiliations: Mathematical Division, Institute for Low Temperature Physics, 47 Lenin Ave, 310164, Kharkov, Ukraine

Abstract: We prove the existence of non‐decaying real solutions of the (2+1)‐dimensional Gardner equation, vanishing when x\to +\infty. We give asymptotic formulae for the solutions in terms of infinite series of asymptotic solitons with curved lines of constant phase and varying amplitude for \vert t\vert \to\infty.

Journal: Asymptotic Analysis, vol. 19, no. 3‐4, pp. 185-207, 1999

Published: 1999
Price: EUR 27.50
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