Soliton dynamics for generalized KdV equations in a slowly varying medium
نویسندگان
چکیده
منابع مشابه
Soliton Interaction with Slowly Varying Potentials
We study the Gross-Pitaevskii equation with a slowly varying smooth potential, V (x) = W (hx). We show that up to time log(1/h)/h and errors of size h in H, the solution is a soliton evolving according to the classical dynamics of a natural effective Hamiltonian, (ξ + sech ∗ V (x))/2. This provides an improvement (h→ h) compared to previous works, and is strikingly confirmed by numerical simula...
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ژورنال
عنوان ژورنال: Analysis & PDE
سال: 2011
ISSN: 1948-206X,2157-5045
DOI: 10.2140/apde.2011.4.573