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

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 9,302 Downloads 21,206 Views Citations
The Global Attractors and Dimensions Estimation for the Higher-Order Nonlinear Kirchhoff-Type Equation with Strong Damping (Articles)

Guoguang Lin, Yalan Yang

Int'l J. of Modern Nonlinear Theory and Application Vol.9 No.4，November 4, 2020

DOI: 10.4236/ijmnta.2020.94005 440 Downloads 1,162 Views Citations
Determine the Eigen Function of Schrodinger Equation with Non-Central Potential by Using NU Method (Articles)

Hamdollah Salehi

Applied Mathematics Vol.2 No.8，August 4, 2011

DOI: 10.4236/am.2011.28138 5,079 Downloads 9,143 Views Citations
Solutions of Schrödinger Equation with Generalized Inverted Hyperbolic Potential (Articles)

Akpan N. Ikot, Eno J. Ibanga, Oladunjoye A. Awoga, Louis E. Akpabio, Akaninyene D. Antia

Journal of Modern Physics Vol.3 No.12，December 19, 2012

DOI: 10.4236/jmp.2012.312232 5,566 Downloads 10,140 Views Citations
Frobenius Series Solutions of the Schrodinger Equation with Various Types of Symmetric Hyperbolic Potentials in One Dimension (Articles)

Hippolyte Nyengeri, René Simbizi, Audace Girukwishaka, Rénovat Nizigiyimana, Eugène Ndenzako

Open Access Library Journal Vol.5 No.7，July 26, 2018

DOI: 10.4236/oalib.1104728 654 Downloads 2,200 Views Citations
Application of the Frobenius Method to the Schrodinger Equation for a Spherically Symmetric Hyperbolic Potential (Articles)

Hippolyte Nyengeri, Rénovat Nizigiyima, Eugène Ndenzako, Félix Bigirimana, Dieudonné Niyonkuru, Audace Girukwishaka

Open Access Library Journal Vol.5 No.10，October 29, 2018

DOI: 10.4236/oalib.1104950 712 Downloads 2,709 Views Citations
Energy Eigenvalue of Hulthen Potential Using Nikiforov-Uvarov and Asymptotic Iterative Method of Hydrogen and Hydrogen-Like Atom (Articles)

Bhishma Karki, Saddam Husain Dhobi, Kishori Yadav, Jeevan Jyoti Nakarmi

Open Journal of Microphysics Vol.12 No.1，February 22, 2022

DOI: 10.4236/ojm.2022.121002 260 Downloads 1,318 Views Citations
On Existence of Entropy Solution for a Doubly Nonlinear Differential Equation with L¹ -Data (Articles)

Safimba Soma, Mohamed Bance

Journal of Applied Mathematics and Physics Vol.11 No.12，December 29, 2023

DOI: 10.4236/jamp.2023.1112261 153 Downloads 501 Views Citations
A Maximum Principle Result for a General Fourth Order Semilinear Elliptic Equation (Articles)

A. Mareno

Journal of Applied Mathematics and Physics Vol.4 No.8，August 30, 2016

DOI: 10.4236/jamp.2016.48176 1,841 Downloads 2,860 Views Citations
The Family of Global Attractors for a Generalized Kirchhoff Equations (Articles)

Guoguang Lin, Xiaomei Liu

Open Journal of Applied Sciences Vol.11 No.7，July 20, 2021

DOI: 10.4236/ojapps.2021.117058 214 Downloads 703 Views Citations
Computational Methods for Three Coupled Nonlinear Schrödinger Equations (Articles)

M. S. Ismail, S. H. Alaseri

Applied Mathematics Vol.7 No.17，November 15, 2016

DOI: 10.4236/am.2016.717168 1,995 Downloads 3,702 Views Citations
Adomian Decomposition Method for Solving Goursat's Problems (Articles)

Mariam A. Al-Mazmumy

Applied Mathematics Vol.2 No.8，August 8, 2011

DOI: 10.4236/am.2011.28134 6,289 Downloads 12,330 Views Citations
The Basic (G'/G)-Expansion Method for the Fourth Order Boussinesq Equation (Articles)

Hasibun Naher, Farah Aini Abdullah

Applied Mathematics Vol.3 No.10，October 11, 2012

DOI: 10.4236/am.2012.310168 57,481 Downloads 143,672 Views Citations
On the Strongly Damped Wave Equations with Critical Nonlinearities (Articles)

Qinghua Zhang

Journal of Applied Mathematics and Physics Vol.4 No.4，April 26, 2016

DOI: 10.4236/jamp.2016.44080 1,913 Downloads 2,674 Views Citations
Approximate Solution of Non-Linear Fractional Klein-Gordon Equation Using Spectral Collocation Method (Articles)

Rubayyi T. Alqahtani

Applied Mathematics Vol.6 No.13，November 30, 2015

DOI: 10.4236/am.2015.613190 2,558 Downloads 3,680 Views Citations
This article belongs to the Special Issue on Fractional Calculus
Application of He’s Variational Iteration Method for the Analytical Solution of Space Fractional Diffusion Equation (Articles)

Mehdi Safari

Applied Mathematics Vol.2 No.9，September 19, 2011

DOI: 10.4236/am.2011.29150 6,635 Downloads 11,918 Views Citations
Application of Adomian’s Decomposition Method for the Analytical Solution of Space Fractional Diffusion Equation (Articles)

Mohammad Danesh, Mehdi Safari

Advances in Pure Mathematics Vol.1 No.6，November 24, 2011

DOI: 10.4236/apm.2011.16062 7,313 Downloads 15,237 Views Citations
Dynamical Phase Transitions in Quantum Systems (Articles)

Ingrid Rotter

Journal of Modern Physics Vol.1 No.5，December 7, 2010

DOI: 10.4236/jmp.2010.15043 5,773 Downloads 11,453 Views Citations
Local Existence and Uniqueness Theorem for a Nonlinear Schrödinger Equation with Robin Inhomogeneous Boundary Condition (Articles)

Charles Bu

Journal of Applied Mathematics and Physics Vol.8 No.3，March 10, 2020

DOI: 10.4236/jamp.2020.83036 564 Downloads 1,413 Views Citations
Numerical Treatment of Initial Value Problems of Nonlinear Ordinary Differential Equations by Duan-Rach-Wazwaz Modified Adomian Decomposition Method (Articles)

Ömür Umut, Serpil Yaşar

Int'l J. of Modern Nonlinear Theory and Application Vol.8 No.1，February 1, 2019

DOI: 10.4236/ijmnta.2019.81002 1,781 Downloads 3,955 Views Citations

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