Yu.S. Kivshar, D.E. Pelinovsky, T. Cretegny, and M. Peyrard

Internal modes of solitary waves

Phys. Rev. Lett. 80, 5031-5035 (1998)

Abstract:
We develop an analytical approach for describing a birth of internal modes of solitary waves in nonintegrable nonlinear models. We show that a small perturbation of a proper sign to an integrable model can create a soliton internal mode bifurcating from the continuous wave spectrum. The theory is applied to the double sine-Gordon and discrete nonlinear Schrodinger equations, and an excellent agreement with numerical data is demonstrated.

Keywords:
KINK-ANTIKINK INTERACTIONS, SOLITONS