Nonlinear Schrodinger Equation; Eigen-Function Method; Fractional Order; Blow-Up; Glabal Attractor - Articles

Blow-Up and Attractor of Solution for Problems of Nonlinear Schrodinger Equations (Articles)

Ning Chen, Jiqian Chen

Applied Mathematics Vol.3 No.12，December 17, 2012

DOI: 10.4236/am.2012.312263 8,139 Downloads 11,070 Views Citations
Existence and Nonexistence of Global Solutions of a Fully Nonlinear Parabolic Equation (Articles)

Zhihao Ge

Advances in Pure Mathematics Vol.3 No.1，January 21, 2013

DOI: 10.4236/apm.2013.31004 4,865 Downloads 7,638 Views Citations
On Local Existence and Blow-Up of Solutions for Nonlinear Wave Equations of Higher-Order Kirchhoff Type with Strong Dissipation (Articles)

Guoguang Lin, Yunlong Gao, Yuting Sun

Int'l J. of Modern Nonlinear Theory and Application Vol.6 No.1，February 13, 2017

DOI: 10.4236/ijmnta.2017.61002 1,468 Downloads 2,492 Views Citations
Closed Form Exact Solutions to the Higher Dimensional Fractional Schrodinger Equation via the Modified Simple Equation Method (Articles)

M. Nurul Islam, M. Ali Akbar

Journal of Applied Mathematics and Physics Vol.6 No.1，January 11, 2018

DOI: 10.4236/jamp.2018.61009 1,119 Downloads 2,443 Views Citations
Blow-Up of Solution to Cauchy Problem for the Singularly Perturbed Sixth-Order Boussinesq-Type Equation (Articles)

Changming Song, Li Chen

Journal of Applied Mathematics and Physics Vol.3 No.7，July 14, 2015

DOI: 10.4236/jamp.2015.37103 3,305 Downloads 3,889 Views Citations
Variable Separation and Exact Solutions for the Kadomtsev-Petviashvili Equation (Articles)

Lili Song, Yadong Shang

Advances in Pure Mathematics Vol.5 No.3，March 12, 2015

DOI: 10.4236/apm.2015.53014 3,524 Downloads 4,279 Views Citations
A New Approach for the Exact Solutions of Nonlinear Equations of Fractional Order via Modified Simple Equation Method (Articles)

Muhammad Younis

Applied Mathematics Vol.5 No.13，July 10, 2014

DOI: 10.4236/am.2014.513186 4,805 Downloads 7,040 Views Citations
Blow Up and Global Existence for a Nonlinear Viscoelastic Wave Equation with Strong Damping and Nonlinear Damping and Source terms (Articles)

Liang Guo, Zhaoqin Yuan, Guoguang Lin

Applied Mathematics Vol.6 No.5，May 14, 2015

DOI: 10.4236/am.2015.65076 3,096 Downloads 4,427 Views Citations
The Finite Volume Element Method for Time-Fractional Nonlinear Fourth-Order Diffusion Equation with Time Delay (Articles)

Anran Li, Qing Yang

Engineering Vol.17 No.1，January 21, 2025

DOI: 10.4236/eng.2025.171004 1 Downloads 12 Views Citations
A Family of Methods for Solving Nonlinear Equations with Twelfth-Order Convergence (Articles)

Xilan Liu, Xiaorui Wang

Applied Mathematics Vol.4 No.2，February 27, 2013

DOI: 10.4236/am.2013.42049 4,333 Downloads 8,358 Views Citations
Explicit High-Order Method to Solve Coupled Nonlinear Schrödinger Equations (Articles)

Khadijah Alamoudi, Mohmmad Said Hammoudeh

Advances in Pure Mathematics Vol.11 No.5，May 25, 2021

DOI: 10.4236/apm.2021.115033 272 Downloads 1,064 Views Citations
Sixth Order Finite Difference Method for Three Coupled Nonlinear Schrödinger Equations (Articles)

Khadijah Alamoudi, Mohmmad Said Hammoudeh

Advances in Pure Mathematics Vol.11 No.4，April 15, 2021

DOI: 10.4236/apm.2021.114017 355 Downloads 1,054 Views Citations
A Compact Finite Difference Schemes for Solving the Coupled Nonlinear Schrodinger-Boussinesq Equations (Articles)

M. S. Ismail, H. A. Ashi

Applied Mathematics Vol.7 No.7，April 25, 2016

DOI: 10.4236/am.2016.77056 2,751 Downloads 3,912 Views Citations
ADI Finite Element Method for 2D Nonlinear Time Fractional Reaction-Subdiffusion Equation (Articles)

Peng Zhu, Shenglan Xie

American Journal of Computational Mathematics Vol.6 No.4，December 21, 2016

DOI: 10.4236/ajcm.2016.64034 2,044 Downloads 3,854 Views Citations
Blow-Up for a Periodic Two-Component Camassa-Holm Equation with Generalized Weakly Dissipation (Articles)

Yang Li, Jingyi Liu, Xincheng Zhu

Journal of Applied Mathematics and Physics Vol.8 No.10，October 28, 2020

DOI: 10.4236/jamp.2020.810167 334 Downloads 943 Views Citations
A Generalized FDTD Method with Absorbing Boundary Condition for Solving a Time-Dependent Linear Schrodinger Equation (Articles)

Frederick Ira Moxley III, Fei Zhu, Weizhong Dai

American Journal of Computational Mathematics Vol.2 No.3，September 28, 2012

DOI: 10.4236/ajcm.2012.23022 5,964 Downloads 11,752 Views Citations
Control Chaos in System with Fractional Order (Articles)

Yamin Wang, Xiaozhou Yin, Yong Liu

Journal of Modern Physics Vol.3 No.6，June 25, 2012

DOI: 10.4236/jmp.2012.36067 5,389 Downloads 9,414 Views Citations
Existence the Solutions of Some Fifth-Order Kdv Equation by Laplace Decomposition Method (Articles)

Sujit Handibag, B. D. Karande

American Journal of Computational Mathematics Vol.3 No.1，March 29, 2013

DOI: 10.4236/ajcm.2013.31013 4,211 Downloads 7,711 Views Citations
Finite Volume Element Method for Fractional Order Neutral Time-Delay Differential Equations (Articles)

Zicheng Wei, Qing Yang

Engineering Vol.17 No.1，January 20, 2025

DOI: 10.4236/eng.2025.171003 2 Downloads 31 Views Citations
Exact Solution to Nonlinear Differential Equations of Fractional Order via (G’/G)-Expansion Method (Articles)

Muhammad Younis, Asim Zafar

Applied Mathematics Vol.5 No.1，December 25, 2013

DOI: 10.4236/am.2014.51001 9,223 Downloads 21,024 Views Citations

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