Analytical spatiotemporal soliton solutions to (3+1)-dimensional cubic-quintic nonlinear Schrödinger equation with distributed coefficients

We give a proof of the existence of stationary bright soliton solutions of the cubic-quintic nonlinear Schrödinger equation with inhomogeneous nonlinearity. By using bifurcation theory, we prove that the norm of the positive solution goes to zero as the parameterλ, called chemical potential in the Bose-Einstein condensates' literature, tends to zero. Moreover, we solve the time-dependent cubic-quintic nonlinear Schrödinger equation with inhomogeneous nonlinearities by using a numerical method.

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Soliton solutions of cubic–quintic nonlinear Schrödinger equation with combined time-dependent magnetic–optical potentials

Indian Journal of Physics ◽

10.1007/s12648-015-0684-x ◽

2015 ◽

Vol 89 (10) ◽

pp. 1065-1075 ◽

Cited By ~ 3

Author(s):

H. M. Li ◽

J. Q. Zhao ◽

L. Y. You

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Soliton Solutions ◽

Nonlinear Schrodinger Equation ◽

Time Dependent ◽

Nonlinear Schrödinger ◽

Optical Potentials ◽

Quintic Nonlinear Schrödinger Equation

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Analytical nonautonomous soliton solutions for the cubic–quintic nonlinear Schrödinger equation with distributed coefficients

Optics Communications ◽

10.1016/j.optcom.2011.10.087 ◽

2012 ◽

Vol 285 (5) ◽

pp. 755-760 ◽

Cited By ~ 32

Author(s):

Ji-da He ◽

Jie-fang Zhang ◽

Meng-yang Zhang ◽

Chao-qing Dai

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Soliton Solutions ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Nonautonomous Soliton ◽

Quintic Nonlinear Schrödinger Equation

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Analytical soliton solutions for the cubic–quintic nonlinear Schrödinger equation with Raman effect in the nonuniform management systems

Nonlinear Dynamics ◽

10.1007/s11071-014-1672-y ◽

2014 ◽

Vol 79 (1) ◽

pp. 387-395 ◽

Cited By ~ 11

Author(s):

Ping Wang ◽

Li Feng ◽

Tao Shang ◽

Lixin Guo ◽

Guanghua Cheng ◽

...

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Raman Effect ◽

Soliton Solutions ◽

Nonlinear Schrodinger Equation ◽

Management Systems ◽

Nonlinear Schrödinger ◽

Quintic Nonlinear Schrödinger Equation

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Optical soliton solutions for the higher-order dispersive cubic-quintic nonlinear Schrödinger equation

Superlattices and Microstructures ◽

10.1016/j.spmi.2017.08.059 ◽

2017 ◽

Vol 112 ◽

pp. 164-179 ◽

Cited By ~ 28

Author(s):

Mustafa Inc ◽

Abdullahi Yusuf ◽

Aliyu Isa Aliyu ◽

Dumitru Baleanu

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Soliton Solutions ◽

Higher Order ◽

Nonlinear Schrodinger Equation ◽

Optical Soliton ◽

Nonlinear Schrödinger ◽

Quintic Nonlinear Schrödinger Equation

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Matter wave soliton solutions of the cubic–quintic nonlinear Schrödinger equation with an anharmonic potential

Applied Mathematics and Computation ◽

10.1016/j.amc.2012.10.110 ◽

2013 ◽

Vol 219 (9) ◽

pp. 4847-4852 ◽

Cited By ~ 1

Author(s):

Yifang Liu ◽

Guo-Rong Li

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Soliton Solutions ◽

Nonlinear Schrodinger Equation ◽

Matter Wave ◽

Nonlinear Schrödinger ◽

Anharmonic Potential ◽

Quintic Nonlinear Schrödinger Equation

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Riemann–Hilbert problems and soliton solutions for a multi-component cubic–quintic nonlinear Schrödinger equation

Journal of Geometry and Physics ◽

10.1016/j.geomphys.2019.103569 ◽

2020 ◽

Vol 149 ◽

pp. 103569 ◽

Cited By ~ 1

Author(s):

Yong Zhang ◽

Huan-He Dong ◽

Deng-Shan Wang

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Soliton Solutions ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Quintic Nonlinear Schrödinger Equation

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CUSP SOLITONS IN THE CUBIC QUINTIC NONLINEAR SCHRÖDINGER EQUATION

Journal of Nonlinear Optical Physics & Materials ◽

10.1142/s0218863501000632 ◽

2001 ◽

Vol 10 (03) ◽

pp. 293-296 ◽

Cited By ~ 2

Author(s):

S. L. PALACIOS

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Soliton Solutions ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Quintic Nonlinear Schrödinger Equation

A new set of soliton solutions for the cubic quintic nonlinear Schrödinger (CQNLS) equation is found. When particular cases are analyzed the conventional hyperbolic secant solitons of the NLS and CQNLS equations are obtained.

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