Stationary wave solutions of the perturbed Korteweg-de Vries equation are considered in the presence of external hamiltonian perturbations. Conditions of their chaotic behaviour are studied with the help of the Melnikov theory. For the homoclinic chaos the Poincare sections are constructed to demonstrate the complicated behaviour, and the Lyapunov exponents are also numerically calculated
We investigate the KdV-Burgers and Gardner equations with dissipation and external perturbation term...
AbstractWe study the chaotic behaviour of a time dependent perturbation of a discontinuous different...
Certain conservative discretizations of the Nonlinear Schroedinger (NLS) Equation can produce irregu...
This paper considers the properties of nonlinear waves and solitons of Kortewegde Vries equation in ...
The correspondence between soliton solutions of nonlinear partial differential equations and homocli...
This paper deals with perturbed Hamiltonian systems. The main assumption is that the unperturbed sys...
We investigate the KdV-Burgers and Gardner equations with dissipation and external perturbation term...
This thesis deals with two aspects of dynamics in systems described by multi-symplectic partial diff...
We follow a functional analytic approach to study the problem of chaotic behaviour in time-perturbed...
In this thesis we consider two aspects of perturbed Hamiltonian systems by using special solutions o...
[[abstract]]This paper investigates the chaotic motion in forced Duffing oscillator due to linear an...
publisher[Abstract] Use of Melnikov method enables us to prove the existence of transverse homoclini...
The problem is studied of chaotic behaviour of a time dependent perturbation of a discontinuous diff...
In this paper, we establish the existence of a solitary wave in a KdV-mKdV equation with dissipative...
AbstractWe describe a new class of solutions of the KdVB equation which demonstrates chaotic behavio...
We investigate the KdV-Burgers and Gardner equations with dissipation and external perturbation term...
AbstractWe study the chaotic behaviour of a time dependent perturbation of a discontinuous different...
Certain conservative discretizations of the Nonlinear Schroedinger (NLS) Equation can produce irregu...
This paper considers the properties of nonlinear waves and solitons of Kortewegde Vries equation in ...
The correspondence between soliton solutions of nonlinear partial differential equations and homocli...
This paper deals with perturbed Hamiltonian systems. The main assumption is that the unperturbed sys...
We investigate the KdV-Burgers and Gardner equations with dissipation and external perturbation term...
This thesis deals with two aspects of dynamics in systems described by multi-symplectic partial diff...
We follow a functional analytic approach to study the problem of chaotic behaviour in time-perturbed...
In this thesis we consider two aspects of perturbed Hamiltonian systems by using special solutions o...
[[abstract]]This paper investigates the chaotic motion in forced Duffing oscillator due to linear an...
publisher[Abstract] Use of Melnikov method enables us to prove the existence of transverse homoclini...
The problem is studied of chaotic behaviour of a time dependent perturbation of a discontinuous diff...
In this paper, we establish the existence of a solitary wave in a KdV-mKdV equation with dissipative...
AbstractWe describe a new class of solutions of the KdVB equation which demonstrates chaotic behavio...
We investigate the KdV-Burgers and Gardner equations with dissipation and external perturbation term...
AbstractWe study the chaotic behaviour of a time dependent perturbation of a discontinuous different...
Certain conservative discretizations of the Nonlinear Schroedinger (NLS) Equation can produce irregu...
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