On the Cauchy problem for the nonlinear Schrodinger equations including fractional dissipation with variable coefficient

Darwich Mohamad

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On the Cauchy problem for the nonlinear Schrodinger equations including fractional dissipation with variable coefficient

机译：关于非线性Schrodinger方程的Cauchy问题，包括变系数的分数耗散

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>This paper is devoted to the Cauchy problem for the nonlinear Schrodinger equation with time‐dependent fractional damping term. We prove the local existence result, and we study the global existence and blow‐up solutions.

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《Mathematical Methods in the Applied Sciences》 |2018年第8期|共9页
作者
Darwich Mohamad;
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作者单位

Lebanese University HadathBeirut Lebanon;

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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
blow‐up; damped nonlinear Schr?dinger equation; global existence; variable coefficients;

机译：爆炸;阻尼非线性schr？dinger方程;全局存在;变量系数;

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1. Energy Decay for the Cauchy Problem of the Linear Wave Equation of Variable Coefficients with Dissipation [J] . Pengfei YAO 数学年刊：B辑英文版 . 2010,第001期
2. Energy Decay for the Cauchy Problem of the Linear Wave Equation of Variable Coefficients with Dissipation [J] . Pengfei YAO 数学年刊B辑（英文版） . 2010,第001期
3. New Solitary Solutions of （2＋1）-Dimensional Variable Coefficient Nonlinear Schrodinger Equation with an External Potential [J] . 宋朝晖, 丁琦, 梅建琴, 中国物理快报：英文版 . 2010,第001期
4. Variable-Coefficient Mapping Method Based on Elliptical Equation and Exact Solutions to Nonlinear Schr(o)dinger Equations with Variable Coefficient [J] . GE Jian-Ya, WANG Rui-Min, DAI Chao-Qing, 理论物理通讯（英文版） . 2006,第010期
5. On the Cauchy problem for the nonlinear Schrodinger equations including fractional dissipation with variable coefficient [J] . Darwich Mohamad Mathematical Methods in the Applied Sciences . 2018,第8期

机译：关于非线性Schrodinger方程的Cauchy问题，包括变系数的分数耗散
6. Analytical soliton solutions for the general nonlinear Schrodinger equation including linear and nonlinear gain (loss) with varying coefficients [J] . Wang Liang-liang, Qian Cun, Dai Chao-qing, Optics Communications: A Journal Devoted to the Rapid Publication of Short Contributions in the Field of Optics and Interaction of Light with Matter . 2010,第21期

机译：包含变量的线性和非线性增益（损耗）的一般非线性Schrodinger方程的解析孤子解
7. Some remarks on the nonlinear Schrodinger equation with fractional dissipation [J] . Darwich Mohamad, Molinet Luc Journal of Mathematical Physics . 2016,第10期

机译：关于带分数耗散的非线性薛定inger方程的一些说明
8. Stimulated fission of high-order optical breather via pairwise interaction of solitons in model of nonlinear Schrodinger equation with variable coefficients [C] . A.I. Konyukhov, P.A. Mavrin, E.V. Schurkin, Saratov full meeting;International Symposium on Optics and Biophotonics . 2017

机译：变系数非线性薛定inger方程模型中孤子的成对相互作用引起的高阶光学通气的裂变
9. Effects of randomness, dissipation and interaction on solitons of the cubic nonlinear Schrodinger equation and related nonlinear wave models. [D] . Nguyen, Quan Minh. 2011

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10. An Efficient Method for Systems of Variable Coefficient Coupled Burgers Equation with Time-Fractional Derivative [O] . Hossein Aminikhah, Nasrin Malekzadeh 2013

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11. The Cauchy problem for Schrodinger type equations with variable coefficients [O] . ICHINOSE WATARU 1987

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12. Stability Analysis of Difference Schemes for Variable Coefficient Schrodinger Type Equations [R] . Chan, T. F., Shen, L. 1985

机译：变系数薛定谔方程差分格式的稳定性分析

On the Cauchy problem for the nonlinear Schrodinger equations including fractional dissipation with variable coefficient

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