134 citations · 235 across the 9 of their papers we have counts for
9 papers
Robustness of the solitons against perturbations in certain nonlocal nonlinear Schrödinger type equations in Nonlinear Physics
M. D. Sreelakshmi, N. Sinthuja, N. Vishnu Priya +1
The nonlocal nonlinear evolution equations describe phenomena in which wave evolution is influenced by local and nonlocal spatial and temporal variables. These equations have opene…
On examining the predictive capabilities of two variants of PINN in validating localised wave solutions in the generalized nonlinear Schrödinger equation
Thulasidharan K., Sinthuja N., Vishnu Priya N. +1
We introduce a novel neural network structure called Strongly Constrained Theory-Guided Neural Network (SCTgNN), to investigate the behaviours of the localized solutions of the gen…
Degenerate soliton solutions and their interactions in coupled Hirota equation with trivial and nontrivial background
S. Monisha, N. Vishnu Priya, M. Senthilvelan
We construct two kinds of degenerate soliton solutions, one on the zero background and another on the plane wave background for the coupled Hirota equation. In the case of zero bac…
Higher order smooth positon and breather positon solutions of an extended nonlinear Schrödinger equation with the cubic and quartic nonlinearity
S. Monisha, N. Vishnu Priya, M. Senthilvelan +1
We construct certain higher order smooth positon and breather positon solutions of an extended nonlinear Schrödinger equation with the cubic and quartic nonlinearity. We utilize th…
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…
On the characterization of breather and rogue wave solutions and modulation instability of a coupled generalized nonlinear Schrödinger equations
N. Vishnu Priya, M. Senthilvelan
We construct Darboux transformation of a coupled generalized nonlinear Schrödinger (CGNLS) equations and obtain exact analytic expressions of breather and rogue wave solutions. We…
Generalized Darboux transformation and N-th order rogue wave solution of a general coupled nonlinear Schrödinger equations
N. Vishnu Priya, M. Senthilvelan
We construct a generalized Darboux transformation (GDT) of a general coupled nonlinear Schrödinger (GCNLS) system. Using GDT method we derive a recursive formula and present determ…
Dark solitons, Breathers and Rogue Wave Solutions of the Coupled Generalized Nonlinear Schrödinger Equations
N. Vishnu Priya, M. Senthilvelan, M. Lakshmanan
We construct dark-dark solitons, general breather (GB), Akhmediev breather (AB), Ma soliton (MS) and rogue wave (RW) solutions of a coupled generalized nonlinear Schrödinger (CGNLS…
Akhmediev breathers, Ma solitons and general breathers from rogue waves: A case study in Manakov system
N. Vishnu Priya, M. Senthilvelan, M. Lakshmanan
We present explicit forms of general breather (GB), Akhmediev breather (AB), Ma soliton (MS) and rogue wave (RW) solutions of the two component nonlinear Schrödinger (NLS) equation…