Multisoliton solutions and stability aspects of higher order discrete nonlinear Schrödinger equation governing protein dynamics

Physica A Statistical Mechanics and its Applications ◽

10.1016/j.physa.2014.06.078 ◽

2014 ◽

Vol 413 ◽

pp. 94-103 ◽

Cited By ~ 4

Author(s):

S. Saravana Veni ◽

M.M. Latha

Keyword(s):

Schrödinger Equation ◽

Protein Dynamics ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Higher Order ◽

Nonlinear Schrodinger Equation ◽

Discrete Nonlinear Schrödinger Equation ◽

Nonlinear Schrödinger ◽

Multisoliton Solutions

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Multi-rogue wave solutions for a generalized integrable discrete nonlinear Schrödinger equation with higher-order excitations

Nonlinear Dynamics ◽

10.1007/s11071-021-06578-x ◽

2021 ◽

Author(s):

Jun Yang ◽

Yan-Li Zhang ◽

Li-Yuan Ma

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Rogue Wave ◽

Higher Order ◽

Nonlinear Schrodinger Equation ◽

Discrete Nonlinear Schrödinger Equation ◽

Nonlinear Schrödinger ◽

Wave Solutions ◽

Rogue Wave Solutions

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Sasa-Satsuma higher-order nonlinear Schrödinger equation and its bilinearization and multisoliton solutions

Physical Review E ◽

10.1103/physreve.68.016614 ◽

2003 ◽

Vol 68 (1) ◽

Cited By ~ 95

Author(s):

C. Gilson ◽

J. Hietarinta ◽

J. Nimmo ◽

Y. Ohta

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Higher Order ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Multisoliton Solutions

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Exact multisoliton solutions of the higher-order nonlinear Schrödinger equation with variable coefficients

Physical Review E ◽

10.1103/physreve.70.066603 ◽

2004 ◽

Vol 70 (6) ◽

Cited By ~ 90

Author(s):

Ruiyu Hao ◽

Lu Li ◽

Zhonghao Li ◽

Guosheng Zhou

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Variable Coefficients ◽

Higher Order ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Multisoliton Solutions

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Stable higher-order vortices and quasivortices in the discrete nonlinear Schrödinger equation

Physical Review E ◽

10.1103/physreve.70.056612 ◽

2004 ◽

Vol 70 (5) ◽

Cited By ~ 53

Author(s):

P. G. Kevrekidis ◽

Boris A. Malomed ◽

Zhigang Chen ◽

D. J. Frantzeskakis

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Higher Order ◽

Nonlinear Schrodinger Equation ◽

Discrete Nonlinear Schrödinger Equation ◽

Nonlinear Schrödinger

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Higher-order nonlinear Schrödinger equation in 2D case

Tohoku Mathematical Journal ◽

10.2748/tmj/1585101619 ◽

2020 ◽

Vol 72 (1) ◽

pp. 15-37

Author(s):

Nakao Hayashi ◽

Pavel I. Naumkin

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Higher Order ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger

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Optical soliton solutions to a higher-order nonlinear Schrödinger equation with Kerr law nonlinearity

Results in Physics ◽

10.1016/j.rinp.2021.104515 ◽

2021 ◽

pp. 104515

Author(s):

B. Günay

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Soliton Solutions ◽

Higher Order ◽

Nonlinear Schrodinger Equation ◽

Optical Soliton ◽

Nonlinear Schrödinger ◽

Kerr Law ◽

Kerr Law Nonlinearity

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Almost general solution of the reduced higher-order nonlinear Schrödinger equation

Optik ◽

10.1016/j.ijleo.2021.166347 ◽

2021 ◽

Vol 230 ◽

pp. 166347 ◽

Cited By ~ 1

Author(s):

Nikolay A. Kudryashov

Keyword(s):

General Solution ◽

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Higher Order ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger

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Finite dimensional global attractor for a semi-discrete nonlinear Schrödinger equation with a point defect

Applied Mathematics and Computation ◽

10.1016/j.amc.2011.02.096 ◽

2011 ◽

Vol 217 (19) ◽

pp. 7818-7830 ◽

Cited By ~ 2

Author(s):

Emna Ezzoug ◽

Wided Kechiche ◽

Ezzeddine Zahrouni

Keyword(s):

Schrödinger Equation ◽

Point Defect ◽

Global Attractor ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Discrete Nonlinear Schrödinger Equation ◽

Nonlinear Schrödinger ◽

Finite Dimensional

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Bifurcation structures and dominant modes near relative equilibria in the one-dimensional discrete nonlinear Schrödinger equation

Physica D Nonlinear Phenomena ◽

10.1016/j.physd.2009.01.001 ◽

2009 ◽

Vol 238 (6) ◽

pp. 687-698 ◽

Cited By ~ 11

Author(s):

C.L. Pando L. ◽

E.J. Doedel

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Relative Equilibria ◽

Nonlinear Schrodinger Equation ◽

Discrete Nonlinear Schrödinger Equation ◽

One Dimensional ◽

Nonlinear Schrödinger ◽

The One ◽

Bifurcation Structures

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Pfaffian solution for coupled discrete nonlinear Schrödinger equation

Chaos Solitons & Fractals ◽

10.1016/s0960-0779(98)00272-0 ◽

2000 ◽

Vol 11 (1-3) ◽

pp. 91-95 ◽

Cited By ~ 11

Author(s):

Y. Ohta

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Discrete Nonlinear Schrödinger Equation ◽

Nonlinear Schrödinger ◽

Pfaffian Solution

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