Dissipative behavior of some fully non-linear KdV-type equations
نویسندگان
چکیده
منابع مشابه
Dissipative Behavior of Some Fully Non-Linear KdV-Type Equations
The KdV equation can be considered as a special case of the general equation ut + f(u)x − δg(uxx)x = 0, δ > 0, (0.1) where f is non-linear and g is linear, namely f(u) = u/2 and g(v) = v. As the parameter δ tends to 0, the dispersive behavior of the KdV equation has been throughly investigated (see, e.g., [11], [6], [2] and the references therein). We show through numerical evidence that a comp...
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ژورنال
عنوان ژورنال: Physica D: Nonlinear Phenomena
سال: 2000
ISSN: 0167-2789
DOI: 10.1016/s0167-2789(99)00190-6