A nonlinear system of equations governing the potential flow of a fluid in the presence of capillarity effects, is shown to be reducible to a resonant Davey-Stewartson type system for a class of three-parameter free energy functions. Two-soliton solutions of this system are thereby constructed via a bilinear operator formulation.link_to_subscribed_fulltex
Static soliton bound states in nonlinear systems are investigated analytically and numerically in th...
Ubiquitous nonlinear waves in dispersive media include localized solitons and extended hydrodynamic ...
We present new solutions in terms of elementary functions of the multi-component nonlinear Schröding...
A phase field capillarity model due to Antanovskii is investigated under irrotational conditions. Fo...
The resonant nonlinear Schrödinger (RNLS) equation exhibits the usual cubic nonlinearity present in ...
It is shown that a new Davey-Stewartson equation (which we call DSIII), in addition to the so called...
We deal with numerical analysis and simulations of the Davey-Stewartson equations which model, for e...
PhD ThesisAfter introducing the nonlinear evolution equations of interest: the finite depth fluid (...
. We extend the well-known split-step Fourier method for solving the nonlinear Schrodinger equation ...
It is shown that a generalized nonlinear Schrödinger equation proposed by Malomed and Stenflo admits...
[Abstract] Resonance phenomena exist in interaction between the line soliton and the periodic solito...
[Abstract] The exact solutions to the Davey-Stewartson I equation are analyzed to study the interact...
Soliton solutions of three typical non-linear evolutions—the Kadomtsev-Petviashvili equation, the no...
Graduation date: 1995In 1974 Davey and Stewartson used a multi-scale analysis to derive a coupled\ud...
In this letter, an alternative method is used to generate the bidirectional soliton solutions of the...
Static soliton bound states in nonlinear systems are investigated analytically and numerically in th...
Ubiquitous nonlinear waves in dispersive media include localized solitons and extended hydrodynamic ...
We present new solutions in terms of elementary functions of the multi-component nonlinear Schröding...
A phase field capillarity model due to Antanovskii is investigated under irrotational conditions. Fo...
The resonant nonlinear Schrödinger (RNLS) equation exhibits the usual cubic nonlinearity present in ...
It is shown that a new Davey-Stewartson equation (which we call DSIII), in addition to the so called...
We deal with numerical analysis and simulations of the Davey-Stewartson equations which model, for e...
PhD ThesisAfter introducing the nonlinear evolution equations of interest: the finite depth fluid (...
. We extend the well-known split-step Fourier method for solving the nonlinear Schrodinger equation ...
It is shown that a generalized nonlinear Schrödinger equation proposed by Malomed and Stenflo admits...
[Abstract] Resonance phenomena exist in interaction between the line soliton and the periodic solito...
[Abstract] The exact solutions to the Davey-Stewartson I equation are analyzed to study the interact...
Soliton solutions of three typical non-linear evolutions—the Kadomtsev-Petviashvili equation, the no...
Graduation date: 1995In 1974 Davey and Stewartson used a multi-scale analysis to derive a coupled\ud...
In this letter, an alternative method is used to generate the bidirectional soliton solutions of the...
Static soliton bound states in nonlinear systems are investigated analytically and numerically in th...
Ubiquitous nonlinear waves in dispersive media include localized solitons and extended hydrodynamic ...
We present new solutions in terms of elementary functions of the multi-component nonlinear Schröding...