Zobrazeno 1 - 10
of 40
pro vyhledávání: '"Priya, N. Vishnu"'
Publikováno v:
Phys. Lett. A (2024)
We consider a hierarchy of nonlinear Schr\"{o}dinger equations (NLSEs) and forecast the evolution of positon solutions using a deep learning approach called Physics Informed Neural Networks (PINN). Notably, the PINN algorithm accurately predicts posi
Externí odkaz:
http://arxiv.org/abs/2405.04968
Publikováno v:
Nonlinear Dynamics,111, 21877-21894, 2023
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 background field, we derive positon solutions of various orders. We also
Externí odkaz:
http://arxiv.org/abs/2401.03815
We construct certain higher order smooth positon and breather positon solutions of an extended nonlinear Schr\"odinger equation with the cubic and quartic nonlinearity. We utilize the generalized Darboux transformation method to construct the aforeme
Externí odkaz:
http://arxiv.org/abs/2207.12095
In this paper, we investigate smooth positon and breather-positon solutions of a generalized nonlinear Schr\"{o}dinger (GNLS) equation which contains higher order nonlinear effects. With the help of generalized Darboux transformation (GDT) method we
Externí odkaz:
http://arxiv.org/abs/2205.12015
In this paper, we calculate the region of emergence of rogue waves in the Sasa-Satsuma equation by performing Penrose stability analysis. We consider Wigner-transformed Sasa-Satsuma equation and separate out unstable solutions, namely Penrose instabi
Externí odkaz:
http://arxiv.org/abs/2105.07358
Akademický článek
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Publikováno v:
Phys. Lett. A, Vol. 383, 15-26 (2019)
We construct symmetry preserving and symmetry broken N-bright, dark and antidark soliton solutions of a nonlocal nonlinear Schr\"{o}dinger equation. To obtain these solutions, we use appropriate eigenfunctions in Darboux transformation (DT) method. W
Externí odkaz:
http://arxiv.org/abs/1806.09359
Autor:
Priya, N. Vishnu, Senthilvelan, M.
We construct Darboux transformation of a coupled generalized nonlinear Schr\"odinger (CGNLS) equations and obtain exact analytic expressions of breather and rogue wave solutions. We also formulate the conditions for isolating these solutions. We show
Externí odkaz:
http://arxiv.org/abs/1412.6647
Autor:
Priya, N. Vishnu, Senthilvelan, M.
We construct a generalized Darboux transformation (GDT) of a general coupled nonlinear Schr\"{o}dinger (GCNLS) system. Using GDT method we derive a recursive formula and present determinant representations for N-th order rogue wave solution of this s
Externí odkaz:
http://arxiv.org/abs/1406.1890
We construct dark-dark solitons, general breather (GB), Akhmediev breather (AB), Ma soliton (MS) and rogue wave (RW) solutions of a coupled generalized nonlinear Schr\"odinger (CGNLS) equation. While the dark-dark solitons are captured in the defocus
Externí odkaz:
http://arxiv.org/abs/1405.2658