On uniqueness and decay of solution for Hirota equation
نویسندگان
چکیده
We address the question of the uniqueness of solution to the initial value problem associated to the equation ∂tu+ iα∂ 2 xu+ β∂ 3 xu+ iγ|u| 2 u+ δ|u|∂xu+ ǫu 2 ∂xu = 0, x, t ∈ R, and prove that a certain decay property of the difference u1 − u2 of two solutions u1 and u2 at two different instants of times t = 0 and t = 1, is sufficient to ensure that u1 = u2 for all the time.
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عنوان ژورنال:
- Applied Mathematics and Computation
دوره 218 شماره
صفحات -
تاریخ انتشار 2012