410 citations
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5 papers · 2 filters
Nondegenerate solitons in Manakov system
S. Stalin, R. Ramakrishnan, M. Senthilvelan +1
It is known that Manakov equation which describes wave propagation in two mode optical fibers, photorefractive materials, etc. can admit solitons which allow energy redistribution…
On symmetry preserving and symmetry broken bright, dark and antidark soliton solutions of nonlocal nonlinear Schrödinger equation
N. Vishnu Priya, M. Senthilvelan, Rangarajan Govindan +1
We construct symmetry preserving and symmetry broken N-bright, dark and antidark soliton solutions of a nonlocal nonlinear Schrödinger equation. To obtain these solutions, we use a…
Degenerate soliton solutions and their dynamics in the nonlocal Manakov system: II Interactions between solitons
S. Stalin, M. Senthilvelan, M. Lakshmanan
In this paper, by considering the degenerate two bright soliton solutions of the nonlocal Manakov system, we bring out three different types of energy sharing collisions for two di…
Degenerate soliton solutions and their dynamics in the nonlocal Manakov system: I Symmetry preserving and symmetry breaking solutions
S. Stalin, M. Senthilvelan, M. Lakshmanan
In this paper, we construct degenerate soliton solutions (which preserve -symmetry/break -symmetry) to the nonlocal Manakov system through a nonstandard bilinea…
Lie symmetry analysis and group invariant solutions of the nonlinear Helmholtz equation
K. Sakkaravarthi, A. G. Johnpillai, A. Durga Devi +2
We consider the nonlinear Helmholtz (NLH) equation describing the beam propagation in a planar waveguide with Kerr-like nonlinearity under non-paraxial approximation. By applying t…