66 citations · 291 across the 14 of their papers we have counts for
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Rogue waves on an elliptic function background in complex modified Korteweg-de Vries equation
N. Sinthuja, K. Manikandan, M. Senthilvelan
With the assistance of one fold Darboux transformation formula, we derive rogue wave solutions of the complex modified Korteweg-de Vries equation on an elliptic function background…
On the characterization of vector rogue waves in two-dimensional two coupled nonlinear Schrödinger equations with distributed coefficients
K. Manikandan, M. Senthilvelan, R. A. Kraenkel
We construct vector rogue wave solutions of the two-dimensional two coupled nonlinear Schrödinger equations with distributed coefficients, namely diffraction, nonlinearity and gain…
An analysis of spatiotemporal localized solutions in the variable coefficients (3+1)-dimensional nonlinear Schrödinger equation with six different forms of dispersion parameters
K. Manikandan, M. Senthilvelan
We construct spatiotemporal localized envelope solutions of a (3+1)-dimensional nonlinear Schrödinger equation with varying coefficients such as dispersion, nonlinearity and gain p…
Amplification of matter rogue waves and breathers in quasi-two-dimensional Bose-Einstein condensates
K. Manikandan, M. Senthilvelan, R. A. Kraenkel
We construct rogue wave and breather solutions of a quasi-two-dimensional Gross-Pitaevskii equation with a time-dependent interatomic interaction and external trap. We show that th…
On the characterization of breather and rogue wave solutions of an inhomogeneous nonlinear Schrödinger equation
K. Manikandan, M. Senthilvelan
We construct breather and rogue wave solutions of a variable coefficient nonlinear Schrödinger equation with an external linear potential. This generalized model describes the nonl…
Manipulating matter-rogue waves and breathers in Bose-Einstein condensates
K. Manikandan, P. Muruganandam, M. Senthilvelan +1
We construct higher order rogue wave solutions and breather profiles for the quasi-one-dimensional Gross-Pitaevskii equation with a time-dependent interatomic interaction and exter…