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 8,403 Downloads 11,797 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 5,057 Downloads 8,182 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

International Journal of Modern Nonlinear Theory and Application Vol.6 No.1, February 13, 2017

DOI: 10.4236/ijmnta.2017.61002 1,647 Downloads 3,020 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 1,322 Downloads 3,067 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 3,466 Downloads 4,365 Views Citations
A Note on Global Existence, Blow-Up and Orbital Stability of Standing Waves for the Schrödinger Equation with Mixed Nonlinearities (Articles)

Hui Jian, Silin Xiao, Meixia Cai

Journal of Applied Mathematics and Physics Vol.13 No.8, August 25, 2025

DOI: 10.4236/jamp.2025.138155 152 Downloads 470 Views Citations
Global Existence and Finite Time Blow-Up for the Nonlinear Schrödinger Hartree Equation with a Constant Magnetic Field (Articles)

Fangli Zhou

Journal of Applied Mathematics and Physics Vol.14 No.4, March 30, 2026

DOI: 10.4236/jamp.2026.144060 77 Downloads 364 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 5,040 Downloads 7,745 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 3,728 Downloads 4,884 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 3,279 Downloads 4,989 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 137 Downloads 721 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 4,585 Downloads 9,027 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 421 Downloads 1,528 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 524 Downloads 1,552 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 2,908 Downloads 4,467 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 2,304 Downloads 4,646 Views Citations
The Existence of Global Attractor for Kirchhoff-Type Strongly Damped Wave Equation with Nonlinear Memory (Articles)

Jixin Xu, Xinghui Wang

Journal of Applied Mathematics and Physics Vol.13 No.4, April 15, 2025

DOI: 10.4236/jamp.2025.134064 123 Downloads 455 Views Citations
On Instability of Standing Waves for the Hartree Equation with a Magnetic Field (Articles)

Rong Pang

Journal of Applied Mathematics and Physics Vol.14 No.6, June 24, 2026

DOI: 10.4236/jamp.2026.146115 9 Downloads 104 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 499 Downloads 1,433 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 6,214 Downloads 12,476 Views Citations

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