Lax pair, conservation laws and solitons for a (<mml:math altimg="si53.gif" display="inline" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd" xmlns:sa="http://www.elsevier.com/xml/common/struct-aff/dtd"><mml:mn>2</mml:mn><mml:mo>+</mml:mo><mml:mn>1</mml:mn></mml:math>)-dimensional fourth-order nonlinear Schrödinger equation governing an <mml:math altimg="si54.gif" display="inline" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd" xmlns:sa="http://www.elsevier.com/xml/common/struct-aff/dtd"><mml:mi>α</mml:mi></mml:math>-helical protein

Fourth Order ◽

Schrodinger Equation ◽

Soliton Solutions ◽

Solitons, Lax pair and infinitely-many conservation laws for a higher-order nonlinear Schrödinger equation in an optical fiber

Optik ◽

10.1016/j.ijleo.2016.12.026 ◽

2017 ◽

Vol 132 ◽

pp. 417-426 ◽

Cited By ~ 18

Author(s):

Xue-Hui Zhao ◽

Bo Tian ◽

Yong-Jiang Guo

Keyword(s):

Schrödinger Equation ◽

Optical Fiber ◽

Conservation Laws ◽

Schrodinger Equation ◽

Lax Pair ◽

Higher Order ◽

Complete symmetry reductions, conservation laws and exact solutions for a (2 + 1)-dimensional nonlinear Schrödinger equation

Optik ◽

10.1016/j.ijleo.2021.166504 ◽

2021 ◽

Vol 232 ◽

pp. 166504

Author(s):

Hongyan Zhi

Keyword(s):

Schrödinger Equation ◽

Conservation Laws ◽

Exact Solutions ◽

Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Symmetry Reductions ◽

Complete Symmetry

Kinetic and thermodynamical interpretation of the conservation laws of a nonlinear Schrödinger equation and other completely integrable systems

Il Nuovo Cimento B ◽

10.1007/bf02721517 ◽

1985 ◽

Vol 85 (1) ◽

pp. 1-16 ◽

Cited By ~ 3

Author(s):

T. A. Minelli ◽

A. Pascolini

Keyword(s):

Schrödinger Equation ◽

Conservation Laws ◽

Integrable Systems ◽

Schrodinger Equation ◽

Completely Integrable Systems ◽

Nonlinear Schrödinger ◽

Completely Integrable

On the inhomogeneous fourth-order nonlinear Schrödinger equation

Journal of Mathematical Physics ◽

10.1063/1.4929657 ◽

2015 ◽

Vol 56 (9) ◽

pp. 093502 ◽

Cited By ~ 11

Author(s):

Nakao Hayashi ◽

Pavel I. Naumkin

Keyword(s):

Schrödinger Equation ◽

Fourth Order ◽

Schrodinger Equation ◽

Stability of one and two-dimensional spatial solitons in a cubic-quintic-septimal nonlinear Schrödinger equation with fourth-order diffraction and PT-symmetric potentials

Wave Motion ◽

10.1016/j.wavemoti.2021.102810 ◽

2021 ◽

pp. 102810

Author(s):

Boubakary Abdou ◽

Fabien II Ndzana ◽

Latchio Tiofack Gaston ◽

Alidou Mohamadou

Keyword(s):

Schrödinger Equation ◽

Fourth Order ◽

Schrodinger Equation ◽

Two Dimensional ◽

Spatial Solitons ◽

Nonlinear Schrödinger ◽

Order Diffraction

Quasi-invariant Gaussian measures for the cubic fourth order nonlinear Schrödinger equation in negative Sobolev spaces

Journal of Functional Analysis ◽

10.1016/j.jfa.2021.109150 ◽

2021 ◽

pp. 109150

Author(s):

Tadahiro Oh ◽

Kihoon Seong

Keyword(s):

Schrödinger Equation ◽

Fourth Order ◽

Sobolev Spaces ◽

Schrodinger Equation ◽

Gaussian Measures ◽

Nonlinear Schrödinger ◽

Negative Sobolev Spaces

Conservation laws, bright matter wave solitons and modulational instability of nonlinear Schrödinger equation with time-dependent nonlinearity

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2011.12.009 ◽

2012 ◽

Vol 17 (8) ◽

pp. 3247-3257 ◽

Cited By ~ 19

Author(s):

Shou-Fu Tian ◽

Li Zou ◽

Qi Ding ◽

Hong-Qing Zhang

Keyword(s):

Schrödinger Equation ◽

Conservation Laws ◽

Schrodinger Equation ◽

Modulational Instability ◽

Time Dependent ◽

Matter Wave ◽

Conservation laws, soliton solutions and modulational instability for the higher-order dispersive nonlinear Schrödinger equation

The European Physical Journal B ◽

10.1140/epjb/e2009-00356-3 ◽

2009 ◽

Vol 72 (2) ◽

pp. 233-239 ◽

Cited By ~ 54

Author(s):

Hai-Qiang Zhang ◽

Bo Tian ◽

Xiang-Hua Meng ◽

Xing Lü ◽

Wen-Jun Liu

Keyword(s):

Schrödinger Equation ◽

Conservation Laws ◽

Schrodinger Equation ◽

Modulational Instability ◽

Soliton Solutions ◽

Higher Order ◽

A new conservative fourth-order accurate difference scheme for the nonlinear Schrödinger equation with wave operator

Applied Numerical Mathematics ◽

10.1016/j.apnum.2021.11.005 ◽

2021 ◽

Author(s):

Labidi Samira ◽

Khaled Omrani

Keyword(s):

Schrödinger Equation ◽

Difference Scheme ◽

Fourth Order ◽

Wave Operator ◽

Schrodinger Equation ◽