Volume 1, Issue 2
Solitary Waves for the Generalized Nonautonomous Dual-Power Nonlinear Schrödinger Equations with Variable Coefficients

Jin Gao, Lijia Han & Yehui Huang

J. Nonl. Mod. Anal., 1 (2019), pp. 251-260.

Published online: 2021-04

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In this paper, we study the solitary waves for the generalized nonautonomous dual-power nonlinear Schrödinger equations (DPNLS) with variable coefficients, which could be used to describe the saturation of the nonlinear refractive index and the solitons in photovoltaic-photorefractive materials such as LiNbO3, as well as many nonlinear optics problems. We generalize an explicit similarity transformation, which maps generalized nonautonomous DPNLS equations into ordinary autonomous DPNLS. Moreover, solitary waves of two concrete equations with space-quadratic potential and optical super-lattice potential are investigated.

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@Article{JNMA-1-251, author = {Gao , JinHan , Lijia and Huang , Yehui}, title = {Solitary Waves for the Generalized Nonautonomous Dual-Power Nonlinear Schrödinger Equations with Variable Coefficients}, journal = {Journal of Nonlinear Modeling and Analysis}, year = {2021}, volume = {1}, number = {2}, pages = {251--260}, abstract = {

In this paper, we study the solitary waves for the generalized nonautonomous dual-power nonlinear Schrödinger equations (DPNLS) with variable coefficients, which could be used to describe the saturation of the nonlinear refractive index and the solitons in photovoltaic-photorefractive materials such as LiNbO3, as well as many nonlinear optics problems. We generalize an explicit similarity transformation, which maps generalized nonautonomous DPNLS equations into ordinary autonomous DPNLS. Moreover, solitary waves of two concrete equations with space-quadratic potential and optical super-lattice potential are investigated.

}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2019.251}, url = {http://global-sci.org/intro/article_detail/jnma/18861.html} }
TY - JOUR T1 - Solitary Waves for the Generalized Nonautonomous Dual-Power Nonlinear Schrödinger Equations with Variable Coefficients AU - Gao , Jin AU - Han , Lijia AU - Huang , Yehui JO - Journal of Nonlinear Modeling and Analysis VL - 2 SP - 251 EP - 260 PY - 2021 DA - 2021/04 SN - 1 DO - http://doi.org/10.12150/jnma.2019.251 UR - https://global-sci.org/intro/article_detail/jnma/18861.html KW - Solitary waves, dual-power law, nonlinear Schrödinger equation, variable coefficients. AB -

In this paper, we study the solitary waves for the generalized nonautonomous dual-power nonlinear Schrödinger equations (DPNLS) with variable coefficients, which could be used to describe the saturation of the nonlinear refractive index and the solitons in photovoltaic-photorefractive materials such as LiNbO3, as well as many nonlinear optics problems. We generalize an explicit similarity transformation, which maps generalized nonautonomous DPNLS equations into ordinary autonomous DPNLS. Moreover, solitary waves of two concrete equations with space-quadratic potential and optical super-lattice potential are investigated.

Gao , JinHan , Lijia and Huang , Yehui. (2021). Solitary Waves for the Generalized Nonautonomous Dual-Power Nonlinear Schrödinger Equations with Variable Coefficients. Journal of Nonlinear Modeling and Analysis. 1 (2). 251-260. doi:10.12150/jnma.2019.251
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