Adiabatic parameter dynamics of perturbed solitary waves. (English) Zbl 1221.35321

Antonova, Mariana; Biswas, Anjan

Commun. Nonlinear Sci. Numer. Simul. 14, No. 3, 734-748 (2009).

Summary: The soliton perturbation theory is used to study the solitons that are governed by the generalized Korteweg-de Vries equation in the presence of perturbation terms. The adiabatic parameter dynamics of the solitons in the presence of the perturbation terms are obtained.

MSC:

35Q53	KdV equations (Korteweg-de Vries equations)
35Q51	Soliton equations
37K40	Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems

Keywords:

solitons; adiabatic parameter dynamics; perturbation; KdV equation

References:

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