Dynamics near the solitary waves of the supercritical gKDV equations

Weak Interaction between Solitary Waves of Gkdv Equations

(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 o...

Multi-soliton solutions for the supercritical gKdV equations

For the L subcritical and critical (gKdV) equations, Martel [11] proved the existence and uniqueness of multi-solitons. Recall that for any N given solitons, we call multi-soliton a solution of (gKdV) which behaves as the sum of these N solitons asymptotically as t → +∞. More recently, for the L supercritical case, Côte, Martel and Merle [4] proved the existence of at least one multi-soliton. I...

the plain x-ray the diagnosis of the acute abdomen_

چکیده ندارد.

Solitary Waves of the Regularized Short Pulse and Ostrovsky Equations

We derive a model for the propagation of short pulses in nonlinear media. The model is a higher order regularization of the short pulse equation (SPE). The regularization term arises as the next term in the expansion of the susceptibility in derivation of the SPE. Without the regularization term there do not exist traveling pulses in the class of piecewise smooth functions with one discontinuit...

Hamiltonian form and solitary waves of the spatial Dysthe equations