Solutions to the modified Korteweg–de Vries equation
نویسندگان
چکیده
منابع مشابه
Unbounded Solutions of the Modified Korteweg-De Vries Equation
Abstract We prove local existence and uniqueness of solutions of the focusing modified Korteweg de Vries equation ut+u 2 ux+uxxx = 0 in classes of unbounded functions that admit an asymptotic expansion at infinity in decreasing powers of x. We show that an asymptotic solution differs from a genuine solution by a smooth function that is of Schwartz class with respect to x and that solves a gener...
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ژورنال
عنوان ژورنال: Reviews in Mathematical Physics
سال: 2014
ISSN: 0129-055X,1793-6659
DOI: 10.1142/s0129055x14300064