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