Dromion Perturbation for the Davey-Stewartson-1 Equations
نویسنده
چکیده
The perturbation of the dromion of the Davey-Stewartson-1 equation is studied over the large time.
منابع مشابه
Asymptotics of soliton solution for the perturbed Davey - Stewartson - 1 equations ∗
The dromion of the Davey-Stewartson-1 equation is studied under perturbation on the large time.
متن کاملar X iv : m at h - ph / 9 90 90 28 v 2 1 6 O ct 1 99 9 Asymptotics of soliton solution for the perturbed
The dromion of the Davey-Stewartson-1 equation is studied under perturbation on the large time. In this work we construct the asymptotic solution of the Davey-Stewart-son-1 equations (DS-1): Here ε is small positive parameter, F is operator of the perturbation, the values of the parameter σ = ±1 correspond so called focusing or defocusing DS-1 equations. The equations (1) at ε = 0 describe the ...
متن کاملThree Dimensional Fully Localized Waves on Ice-covered Ocean
We have recently shown [1] that fully-localized threedimensional wave envelopes (so-called dromions) can exist and propagate on the surface of ice-covered waters. Here we show that the inertia of the ice can play an important role in the size, direction and speed of propagation of these structures. We use multiple-scale perturbation technique to derive governing equations for the weakly nonline...
متن کاملExact Solutions of Generalized Boussinesq-Burgers Equations and (2+1)-Dimensional Davey-Stewartson Equations
We study two coupled systems of nonlinear partial differential equations, namely, generalized Boussinesq-Burgers equations and 2 1 -dimensional Davey-Stewartson equations. The Lie symmetry method is utilized to obtain exact solutions of the generalized Boussinesq-Burgers equations. The travelling wave hypothesis approach is used to find exact solutions of the 2 1 dimensional Davey-Stewartson eq...
متن کاملFinite-depth capillary-gravity dromions.
It is known that the governing equations for the evolution of the envelope of weakly nonlinear capillary-gravity wave packets, the so-called Davey-Stewartson equation, admit dromion solutions in the limit of shallow water and strong surface tension, i.e., when kh≪1 and the Bond number (Bo) ≡T/ρgh^{2}>1/3 (where T is the surface tension coefficient and h the water depth). Here we show that capil...
متن کامل