120 citations · 292 across the 20 of their papers we have counts for
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Similarity reductions of peakon equations: integrable cubic equations
L. E. Barnes, A. N. W. Hone, M. Senthilvelan +1
We consider the scaling similarity solutions of two integrable cubically nonlinear partial differential equations (PDEs) that admit peaked soliton (peakon) solutions, namely the mo…
Nondegenerate soliton solutions in certain coupled nonlinear Schrödinger systems
S. Stalin, R. Ramakrishnan, M. Lakshmanan
In this paper, we report a more general class of nondegenerate soliton solutions, associated with two distinct wave numbers in different modes, for a certain class of physically im…
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…
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…
A critique on the soliton solutions of -invariant reverse space nonlocal nonlinear Schrödinger equation
S. Stalin, M. Senthilvelan, M. Lakshmanan
We point out certain basic misconceptions and incorrect statements given by Gürses and Pekcan in the recent paper {\bf J. Math. Phys. 59, 051501 (2018)}. We re-emphasize the solito…