학술논문
Long‐time asymptotics of non‐decaying solutions of the (2+1)‐dimensional Gardner equation.
Document Type
Article
Author
Source
Subject
*ASYMPTOTIC expansions
*ASYMPTOTIC theory in evolution equations
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Language
ISSN
0921-7134
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. [ABSTRACT FROM AUTHOR]