66 citations · 291 across the 14 of their papers we have counts for
14 papers
Data driven soliton solution of the nonlinear Schrödinger equation with certain -symmetric potentials via deep learning
J. Meiyazhagan, K. Manikandan, J. B. Sudharsan +1
We investigate the physics informed neural network method, a deep learning approach, to approximate soliton solution of the nonlinear Schrödinger equation with parity time symmetri…
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…
Nonlinear tunneling of solitons in a variable coefficients nonlinear Schrödinger equation with -symmetric Rosen-Morse potential
K. Manikandan, J. B. Sudharsan, M. Senthilvelan
We construct soliton solution of a variable coefficients nonlinear Schrödinger equation in the presence of parity reflection - time reversal symmetric Rosen-Morse…
Formation of rogue waves on the periodic background in a fifth-order nonlinear Schrödinger equation
N. Sinthuja, K. Manikandan, M. Senthilvelan
We construct rogue wave solutions of a fifth-order nonlinear Schrödinger equation on the Jacobian elliptic function background. By combining Darboux transformation and the nonlinea…
Rogue waves on the double periodic background in Hirota equation
N. Sinthuja, K. Manikandan, M. Senthilvelan
We construct rogue wave solutions on the double periodic background for the Hirota equation through one fold Darboux transformation formula. We consider two types of double periodi…
Dissipative optical solitons in asymmetric Rosen-Morse potential
K. Hari, K. Manikandan, R. Sankaranarayanan
We investigate the existence and stability of dissipative soliton solution in a system described by complex Ginzburg-Landau (CGL) equation with asymmetric complex potential, which…
Optical solitons in near symmetric Rosen-Morse potential
K. Hari, K. Manikandan, R. Sankaranarayanan
We investigate the existence of stable soliton solution in a system described by complex Ginzburg-Landau (CGL) equation with near parity reflection - time reversal ()…
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…
Manipulating localized matter waves in multi-component Bose-Einstein condensates
K. Manikandan, P. Muruganandam, M. Senthilvelan +1
We analyze vector localized solutions of two-component Bose-Einstein condensates (BECs) with variable nonlinearity parameter and external trap potential through similarity transfor…
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…
On certain new exact solutions of a diffusive predator-prey system
R. A. Kraenkel, K. Manikandan, M. Senthilvelan
We construct exact solutions for a system of two nonlinear partial differential equations describing the spatio-temporal dynamics of a predator-prey system where the prey per capit…