Soliton Solutions; Conservation Laws; Nonlinear Evolution Equations - Articles

Numerical Simulation for Nonlinear Water Waves Propagating along the Free Surface (Articles)

Rabab Fadhel Al-Bar

Journal of Applied Mathematics and Physics Vol.4 No.5, May 30, 2016

DOI: 10.4236/jamp.2016.45102 1,948 Downloads 3,203 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 2,103 Downloads 4,149 Views Citations
Hausdorff Dimension and Fractal Dimension of the Global Attractor for the Higher-Order Coupled Kirchhoff-Type Equations (Articles)

Guoguang Lin, Sanmei Yang

Journal of Applied Mathematics and Physics Vol.5 No.12, December 29, 2017

DOI: 10.4236/jamp.2017.512197 790 Downloads 1,929 Views Citations
Variation of Parameters for Causal Operator Differential Equations (Articles)

Reza R. Ahangar

Applied Mathematics Vol.8 No.12, December 29, 2017

DOI: 10.4236/am.2017.812134 1,224 Downloads 2,684 Views Citations
Keynes’ Analytical System as an Econometric Tool: Examining Macroeconomic Trends in the U.S. from 1950s to 1980s (Articles)

Manuel A. R. Da Fonseca

Theoretical Economics Letters Vol.8 No.10, June 19, 2018

DOI: 10.4236/tel.2018.810112 1,174 Downloads 2,544 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 1,944 Views Citations
Multistep Quadrature Based Methods for Nonlinear System of Equations with Singular Jacobian (Articles)

Oghovese Ogbereyivwe, Kingsley Obiajulu Muka

Journal of Applied Mathematics and Physics Vol.7 No.3, March 28, 2019

DOI: 10.4236/jamp.2019.73049 812 Downloads 1,920 Views Citations
This article belongs to the Special Issue on Optimization and Its Applications
Some New Nonlinear Wave Solutions for a Higher-Dimensional Shallow Water Wave Equation (Articles)

Longmin Dong, Zhu Guo, Yinghui He

Journal of Applied Mathematics and Physics Vol.8 No.9, September 18, 2020

DOI: 10.4236/jamp.2020.89139 605 Downloads 1,930 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 490 Downloads 1,492 Views Citations
Compact Difference Method for Time-Fractional Neutral Delay Nonlinear Fourth-Order Equation (Articles)

Huan Wang, Qing Yang

Engineering Vol.14 No.12, December 29, 2022

DOI: 10.4236/eng.2022.1412041 258 Downloads 987 Views Citations
AI-Enhanced Performance Evaluation of Python, MATLAB, and Scilab for Solving Nonlinear Systems of Equations: A Comparative Study Using the Broyden Method (Articles)

Isaac Azure, Japheth Kodua Wiredu, Anas Musah, Eric Akolgo

American Journal of Computational Mathematics Vol.13 No.4, December 28, 2023

DOI: 10.4236/ajcm.2023.134036 661 Downloads 1,645 Views Citations
Crank-Nicolson Quasi-Compact Scheme for the Nonlinear Two-Sided Spatial Fractional Advection-Diffusion Equations (Articles)

Dechao Gao, Zeshan Qiu, Lizan Wang, Jianxin Li

Journal of Applied Mathematics and Physics Vol.12 No.4, April 19, 2024

DOI: 10.4236/jamp.2024.124068 185 Downloads 709 Views Citations
General Solutions’ Laws of Nonlinear Partial Differential Equations (Articles)

Honglai Zhu

Journal of Applied Mathematics and Physics Vol.13 No.1, January 20, 2025

DOI: 10.4236/jamp.2025.131008 119 Downloads 568 Views Citations
Research on Rational Quadratic Residues (Articles)

Zhongqi Zhou

Open Access Library Journal Vol.12 No.6, June 16, 2025

DOI: 10.4236/oalib.1113565 111 Downloads 899 Views Citations
The Dynamics of Wave-Particle Duality (Articles)

Adriano Orefice, Raffaele Giovanelli, Domenico Ditto

Journal of Applied Mathematics and Physics Vol.6 No.9, September 18, 2018

DOI: 10.4236/jamp.2018.69157 1,162 Downloads 3,495 Views Citations
Solitary Wave Solution of the Two-Dimensional Regularized Long-Wave and Davey-Stewartson Equations in Fluids and Plasmas (Articles)

Omar H. El-Kalaawy, Rafat S. Ibrahim

Applied Mathematics Vol.3 No.8, August 1, 2012

DOI: 10.4236/am.2012.38124 6,453 Downloads 11,822 Views Citations
Application of the Non-Local Physics in the Theory of Gravitational Waves and Big Bang (Articles)

Boris V. Alexeev

Journal of Modern Physics Vol.4 No.7A, July 10, 2013

DOI: 10.4236/jmp.2013.47A1004 3,521 Downloads 5,471 Views Citations
This article belongs to the Special Issue on The Black Hole, the Big Bang, and Modern Physics
Approximate Solutions to the Discontinuous Riemann-Hilbert Problem of Elliptic Systems of First Order Complex Equations (Articles)

Guochun Wen, Yanhui Zhang, Dechang Chen

Applied Mathematics Vol.5 No.10, June 6, 2014

DOI: 10.4236/am.2014.510148 3,305 Downloads 4,681 Views Citations
Qualitative Properties and Numerical Solution of the Kolmogorov-Fisher Type Biological Population Task with Double Nonlinear Diffusion (Articles)

Dildora Kabulovna Muhamediyeva

Journal of Applied Mathematics and Physics Vol.3 No.10, October 26, 2015

DOI: 10.4236/jamp.2015.310153 2,014 Downloads 2,954 Views Citations
Lie Symmetry Analysis, Optimal Systems and Explicit Solutions of the Dispersive Long Wave Equations (Articles)

Xiaomei Xue, Yushan Bai

Journal of Applied Mathematics and Physics Vol.6 No.12, December 29, 2018

DOI: 10.4236/jamp.2018.612222 1,134 Downloads 2,761 Views Citations

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