D. Pelinovsky

Intermediate nonlinear Schrodinger equation for internal waves in a fluid of finite depth

Phys. Lett. A 197, 401-406 (1995)

Abstract:
A new evolution equation is derived by means of an asymptotic multi-scale technique for quasi-harmonic internal waves in a fluid of finite depth. This equation is shown to generalize the nonlinear Schrodinger equation which appears in the small-depth limit. Soliton solutions to the equation are found in an explicit form and describe the localized dips propagating along a modulationally stable wave background.

Keywords:
BENJAMIN-ONO-EQUATION, INVERSE SCATTERING TRANSFORM, EVOLUTION EQUATIONS, CONSERVATION LAWS