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D. Pelinovsky

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

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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