Search Results - "Senthilvelan, M."

Nondegenerate Solitons in Manakov System by Stalin, S, Ramakrishnan, R, Senthilvelan, M, Lakshmanan, M

“…It is known that the Manakov equation which describes wave propagation in two mode optical fibers, photorefractive materials, etc., can admit solitons which…”
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Manifestation of strange nonchaotic attractors in extended systems: a study through out-of-time-ordered correlators by Muruganandam, P., Senthilvelan, M.

“…We study the spatial spread of out-of-time-ordered correlators (OTOCs) in coupled map lattices (CMLs) of quasiperiodically forced nonlinear maps. We use…”
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Model-free prediction of emergence of extreme events in a parametrically driven nonlinear dynamical system by deep learning by Meiyazhagan, J., Sudharsan, S., Senthilvelan, M.

“…We predict the emergence of extreme events in a parametrically driven nonlinear dynamical system using three Deep Learning models, namely Multi-Layer…”
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Degenerate soliton solutions and their interactions in coupled Hirota equation with trivial and nontrivial background by Monisha, S., Priya, N. Vishnu, Senthilvelan, M.

“…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…”
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Nonlinear tunneling of solitons in a variable coefficients nonlinear Schrödinger equation with PT-symmetric Rosen–Morse potential by Manikandan, K., Sudharsan, J. B., Senthilvelan, M.

“…We construct soliton solution of a variable coefficients nonlinear Schrödinger equation in the presence of parity reflection–time reversal ( PT ) - symmetric…”
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Instability of single- and double-periodic waves in the fourth-order nonlinear Schrödinger equation by Sinthuja, N., Rajasekar, S., Senthilvelan, M.

“…In this work, we investigate the instability of single- and double-periodic waves of a fourth-order nonlinear Schrödinger equation, which describes the…”
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Manipulating matter rogue waves and breathers in Bose-Einstein condensates by Manikandan, K, Muruganandam, P, Senthilvelan, M, Lakshmanan, M

“…We construct higher-order rogue wave solutions and breather profiles for the quasi-one-dimensional Gross-Pitaevskii equation with a time-dependent interatomic…”
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A study on Darboux polynomials and their significance in determining other integrability quantifiers: A case study in third-order nonlinear ordinary differential equations by Mohanasubha, R, Senthilvelan, M

“…In this paper, we present a method for deriving quantifiers of the extended Prelle–Singer (PS) method using Darboux polynomials for third-order nonlinear…”
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Impact of symmetry breaking in networks of globally coupled oscillators by Premalatha, K, Chandrasekar, V K, Senthilvelan, M, Lakshmanan, M

“…We analyze the consequences of symmetry breaking in the coupling in a network of globally coupled identical Stuart-Landau oscillators. We observe that symmetry…”
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Degenerate soliton solutions and their dynamics in the nonlocal Manakov system: I symmetry preserving and symmetry breaking solutions by Stalin, S., Senthilvelan, M., Lakshmanan, M.

“…In this paper, we construct degenerate soliton solutions (which preserve PT -symmetry/break PT -symmetry) to the nonlocal Manakov system through a nonstandard…”
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Energy-sharing collisions and the dynamics of degenerate solitons in the nonlocal Manakov system by Stalin, S., Senthilvelan, M., Lakshmanan, M.

“…In this paper, by considering the degenerate two bright soliton solution of the nonlocal Manakov system, we bring out three different types of energy-sharing…”
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Rogue waves on an elliptic function background in complex modified Korteweg–de Vries equation by Sinthuja, N, Manikandan, K, Senthilvelan, M

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Symmetrical emergence of extreme events at multiple regions in a damped and driven velocity-dependent mechanical system by Sudharsan, S, Venkatesan, A, Senthilvelan, M

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A Class of New Solvable Nonlinear Isochronous Systems and Their Classical Dynamics by Mohanasubha, R., Senthilvelan, M.

“…In a recent work, Calogero and Payandeh have identified a class of solvable two coupled first order nonlinear ordinary differential equations by connecting the…”
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Prediction of occurrence of extreme events using machine learning by Meiyazhagan, J., Sudharsan, S., Venkatesan, A., Senthilvelan, M.

“…Machine learning models play a vital role in the prediction task in several fields of study. In this work, we utilize the ability of machine learning…”
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Nth-order smooth positon and breather-positon solutions of a generalized nonlinear Schrödinger equation by Vishnu Priya, N., Monisha, S., Senthilvelan, M., Rangarajan, Govindan

“…In this paper, we investigate smooth positon and breather-positon solutions of a generalized nonlinear Schrödinger (GNLS) equation which contains higher-order…”
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High-order synchronization in a system of nonlinearly coupled Stuart-Landau oscillators by Thomas, Nissi, Karthiga, S., Senthilvelan, M.

“…The high-order synchronization was studied in systems driven by external force and in autonomous systems with proper frequency mismatch. Differing from the…”
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Rogue waves on the double-periodic background in Hirota equation by Sinthuja, N., Manikandan, K., Senthilvelan, M.

“…We construct rogue wave solutions on the double-periodic background for the Hirota equation through onefold Darboux transformation formula. We consider two…”
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A note on the application of Darboux polynomial method to an nonlinear oscillator equation by Mohanasubha, R., Senthilvelan, M.

“…In this paper, we apply Darboux polynomial method to a second-order nonlinear ordinary differential equation ẍ+(k1xq+k2)ẋ+k3x2q+1+k4xq+1+λx=0. We identify…”
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Emergence and mitigation of extreme events in a parametrically driven system with velocity-dependent potential by Sudharsan, S., Venkatesan, A., Muruganandam, P., Senthilvelan, M.

“…In this paper, we discuss the emergence of extreme events in a parametrically driven non-polynomial mechanical system with a velocity-dependent potential. We…”
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