Weak Interaction between Solitary Waves of Gkdv Equations
نویسنده
چکیده
(1) { ut + f(u)x + uxxx = 0 for x ∈ R, t > 0, u(x, 0) = u0(x) for x ∈ R, where f(u) = |u|p−1u/p (3 ≤ p < 5). I will show that if the speed of the solitary waves are sufficiently close at the initial time, the wave going ahead becomes larger and the wave going behind becomes smaller and the distance between two solitary waves becomes larger as t→∞. This gives an example of multi-pulse solution of (1), which is not included in [11]. Let φ be a positive solution of
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