Korteweg-deVries equation, IV. Simplest generalization
نویسندگان
چکیده
منابع مشابه
Variational Method for Studying Solitons in the Korteweg-DeVries Equation
We use a variational method based on the principle of least action to obtain approximate time-dependent single soliton solutions to the KdV equation. A class of trial variational functions of the form u(x, t) = −A(t) exp [ −β(t) |x− q(t)| ] , with n a continuous real variable, is used to parametrize timedependent solutions. We find that this class of trial functions leads to soliton-like soluti...
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ژورنال
عنوان ژورنال: Proceedings of the Japan Academy, Series A, Mathematical Sciences
سال: 1969
ISSN: 0386-2194
DOI: 10.3792/pja/1195520615