Dispersive limit from the Kawahara to the KdV equation
نویسندگان
چکیده
منابع مشابه
Dispersive limit from the Kawahara to the KdV equation
We investigate the limit behavior of the solutions to the Kawahara equation ut + u3x + εu5x + uux = 0 , ε > 0 as ε → 0. In this equation, the terms u3x and εu5x do compete together and do cancel each other at frequencies of order 1/ √ ε. This prohibits the use of a standard dispersive approach for this problem. Nervertheless, by combining different dispersive approaches according to the range o...
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ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 2013
ISSN: 0022-0396
DOI: 10.1016/j.jde.2013.06.012