We demonstrate that, in contrast with what was previously believed, multihump solitary waves can be stable. By means of linear stability analysis and numerical simulations, we investigate the stability of two- and three-hump solitary waves governed by incoherent beam interaction in a saturable medium, providing a theoretical background for the stability of the experimental results reported by Mitchell, Segev, and Christodoulides [Phys. Rev. Lett. 80, 4657 (1998)]
Solitary waves in materials with a cascaded X(2): (2) nonlinearity are investigated, and the implica...
Abstract. Solitary-wave solutions of a nonlinearly dispersive equation are consid-ered. It is found ...
In the present work, we consider a variety of two-component, one-dimensional states in nonlinear Sch...
We demonstrate that, in contrast with what was previously believed, multihump solitary waves can be ...
We investigate multi-hump spatial solitary waves and multi-soliton patterns generated by an incohere...
We demonstrate the existence of dynamically stable multihump solitary waves in polaron-type models d...
We have investigated the interaction between two dissipative spatial solitons of different frequenci...
We have investigated the interaction between two dissipative spatial solitons of different frequenci...
We obtain the most general matrix criterion for stability and instability of multicomponent solitary...
The generalized nonlinear Schrödinger equation with certain nonlinearities allows for the existence ...
We consider the stability problem of the solitary wave solutions of a completely integrable equation...
We investigate the stability of bright solitary waves formed by the mutual trapping of the fundament...
We study the existence and stability of multihump solitons in two-dimensional (2D) parity-...
In this article we consider nonlinear Schrödinger (NLS) equations in Rd for d = 1, 2, and 3. We con...
In dispersive wave systems with dispersion relations such that the phase speed attains an extremum a...
Solitary waves in materials with a cascaded X(2): (2) nonlinearity are investigated, and the implica...
Abstract. Solitary-wave solutions of a nonlinearly dispersive equation are consid-ered. It is found ...
In the present work, we consider a variety of two-component, one-dimensional states in nonlinear Sch...
We demonstrate that, in contrast with what was previously believed, multihump solitary waves can be ...
We investigate multi-hump spatial solitary waves and multi-soliton patterns generated by an incohere...
We demonstrate the existence of dynamically stable multihump solitary waves in polaron-type models d...
We have investigated the interaction between two dissipative spatial solitons of different frequenci...
We have investigated the interaction between two dissipative spatial solitons of different frequenci...
We obtain the most general matrix criterion for stability and instability of multicomponent solitary...
The generalized nonlinear Schrödinger equation with certain nonlinearities allows for the existence ...
We consider the stability problem of the solitary wave solutions of a completely integrable equation...
We investigate the stability of bright solitary waves formed by the mutual trapping of the fundament...
We study the existence and stability of multihump solitons in two-dimensional (2D) parity-...
In this article we consider nonlinear Schrödinger (NLS) equations in Rd for d = 1, 2, and 3. We con...
In dispersive wave systems with dispersion relations such that the phase speed attains an extremum a...
Solitary waves in materials with a cascaded X(2): (2) nonlinearity are investigated, and the implica...
Abstract. Solitary-wave solutions of a nonlinearly dispersive equation are consid-ered. It is found ...
In the present work, we consider a variety of two-component, one-dimensional states in nonlinear Sch...