22 citations · 38 across the 10 of their papers we have counts for
10 papers
Breather and Positon excitations in a nonlinear electrical transmission line modeled by the Kundu-Eckhaus Equation
N. Sinthuja, M. Senthilvelan, K. Murali
In this study, we explore the dynamics of breathers and positons in a nonlinear electrical transmission line modeled by the modified Naguchi circuit, governed by the Kundu-Eckhaus…
Transmission of Positons in a Modified Noguchi Electrical Transmission Line
N. Sinthuja, M. Senthilvelan, K. Murali
In previous studies, the propagation of localized pulses (solitons, rogue waves and breathers) in electrical transmission lines has been studied. In this work, we extend this study…
Baseband Modulational Instability and Manifestation of Breather and Super Rogue Wave Phenomena in Modified Noguchi Electrical Transmission Line
N. Sinthuja, M. Senthilvelan, K. Murali
In this paper, we report the emergence of breather and super rogue waves in a modified Noguchi electrical transmission line and demonstrate that both phenomena arise from baseband…
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…
Instability of single- and double-periodic waves in the fourth-order nonlinear Schrödinger equation
N. Sinthuja, S. Rajasekar, M. Senthilvelan
We compute the instability rate for single- and double-periodic wave solutions of a fourth-order nonlinear Schrödinger equation. The single- and double-periodic solutions of a four…
Rogue waves with two different double-periodic wave backgrounds and their modulational instabilities of a fifth-order nonlinear Schrödinger equation
N. Sinthuja, M. Senthilvelan
In this article, we derive rogue wave (RW) solutions of a fifth-order nonlinear Schrödinger equation over a double-periodic wave background. Choosing the elliptic functions (combin…
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…
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…