Nonlinear Evolution Equation - Articles - Scientific Research Publishing

Generalized Darboux Transformation and Rational Solutions for the Nonlocal Nonlinear Schrödinger Equation with the Self-Induced Parity-Time Symmetric Potential (Articles)

Jian Chen

Journal of Applied Mathematics and Physics Vol.3 No.5, May 22, 2015

DOI: 10.4236/jamp.2015.35065 3,531 Downloads 5,037 Views Citations
An Interval Matrix Based Generalized Newton Method for Linear Complementarity Problems (Articles)

Hai-Shan Han, Lan-Ying

Open Journal of Applied Sciences Vol.5 No.8, August 12, 2015

DOI: 10.4236/ojapps.2015.58044 2,586 Downloads 3,563 Views Citations
New Generalized (G'/G)-Expansion Method Applications to Coupled Konno-Oono Equation (Articles)

Md. Nur Alam, Fethi Bin Muhammad Belgacem

Advances in Pure Mathematics Vol.6 No.3, February 29, 2016

DOI: 10.4236/apm.2016.63014 3,937 Downloads 6,161 Views Citations
This article belongs to the Special Issue on Fractional Differential, Integral and Integro-Differential Equations Research
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 2,886 Downloads 4,408 Views Citations
Memory Effect in Chemotaxis Equation (Articles)

Loukrakpam Kennedy Meitei, Ranjit Kumar, Varun Malik, Yogesh Kumar, Nihal Kumar

Journal of Modern Physics Vol.7 No.10, June 20, 2016

DOI: 10.4236/jmp.2016.710099 1,823 Downloads 2,891 Views Citations
Numerical Treatment of Nonlinear Volterra-Fredholm Integral Equation with a Generalized Singular Kernel (Articles)

Fatheah Ahmed Hendi, Manal Mohamed Al-Qarni

American Journal of Computational Mathematics Vol.6 No.3, September 14, 2016

DOI: 10.4236/ajcm.2016.63025 1,826 Downloads 3,462 Views Citations
The Global Attractors and Their Hausdorff and Fractal Dimensions Estimation for the Higher-Order Nonlinear Kirchhoff-Type Equation with Strong Linear Damping (Articles)

Yunlong Gao, Yuting Sun, Guoguang Lin

International Journal of Modern Nonlinear Theory and Application Vol.5 No.4, November 23, 2016

DOI: 10.4236/ijmnta.2016.54018 1,571 Downloads 2,739 Views Citations
The Global Attractors for the Higher-Order Kirchhoff-Type Equation with Nonlinear Strongly Damped Term (Articles)

Yuting Sun, Yunlong Gao, Guoguang Lin

International Journal of Modern Nonlinear Theory and Application Vol.5 No.4, November 28, 2016

DOI: 10.4236/ijmnta.2016.54019 1,734 Downloads 2,896 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 2,276 Downloads 4,543 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 1,620 Downloads 2,961 Views Citations
Numerical Solution of Nonlinear Mixed Integral Equation with a Generalized Cauchy Kernel (Articles)

Fatheah Ahmed Hendi, Manal Mohamed Al-Qarni

Applied Mathematics Vol.8 No.2, February 28, 2017

DOI: 10.4236/am.2017.82017 6,702 Downloads 8,601 Views Citations
Macroscopic Equation and Its Application for Free Ways (Articles)

Mahmoodreza Keymanesh, Amirhossein Esfahanizad Mousavi

Open Journal of Geology Vol.7 No.7, July 13, 2017

DOI: 10.4236/ojg.2017.77062 1,136 Downloads 2,307 Views Citations
N-Fold Darboux Transformation for the Nonlocal Nonlinear Schrödinger (NNLS) Equation with the Self-Induced PT-Symmetric Potential (Articles)

Chaonan Duan, Fajun Yu

Journal of Applied Mathematics and Physics Vol.6 No.4, April 27, 2018

DOI: 10.4236/jamp.2018.64076 974 Downloads 2,074 Views Citations
Nanoparticle Charge in Fluid from Atomic Force Microscopy Forces within the Nonlinear Poisson-Boltzmann Equation (Articles)

Fredy R. Zypman

Journal of Applied Mathematics and Physics Vol.6 No.6, June 28, 2018

DOI: 10.4236/jamp.2018.66110 792 Downloads 1,939 Views Citations
The Interaction and Degeneracy of Mixed Solutions for Derivative Nonlinear Schrödinger Equation (Articles)

Zhen Wu, Shuwei Xu, Tingwang Wu, Haoqi Zhou

Journal of Applied Mathematics and Physics Vol.7 No.11, November 5, 2019

DOI: 10.4236/jamp.2019.711180 842 Downloads 1,933 Views Citations
A Mathematical Model for Redshift (Articles)

Peter Y. P. Chen

Applied Mathematics Vol.11 No.3, March 10, 2020

DOI: 10.4236/am.2020.113013 544 Downloads 2,163 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 692 Downloads 1,782 Views Citations
Jacobi Elliptic Function Expansion Method for the Nonlinear Vakhnenko Equation (Articles)

Chunhuan Xiang, Honglei Wang

Journal of Applied Mathematics and Physics Vol.8 No.5, April 30, 2020

DOI: 10.4236/jamp.2020.85061 712 Downloads 2,005 Views Citations
The Global Attractors and Dimensions Estimation for the Higher-Order Nonlinear Kirchhoff-Type Equation with Strong Damping (Articles)

Guoguang Lin, Yalan Yang

International Journal of Modern Nonlinear Theory and Application Vol.9 No.4, November 4, 2020

DOI: 10.4236/ijmnta.2020.94005 569 Downloads 1,521 Views Citations
Numerical Simulation of Modified Kortweg-de Vries Equation by Linearized Implicit Schemes (Articles)

M. S. Ismail, Fakhirah Alotaibi

Applied Mathematics Vol.11 No.11, November 17, 2020

DOI: 10.4236/am.2020.1111077 627 Downloads 1,823 Views Citations

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