Chaotic Solitons; Partial Differential Equation; Homoclinic Orbit - Articles

Analytical and Numerical Computations of Multi-Solitons in the Korteweg-de Vries (KdV) Equation (Articles)

Hycienth O. Orapine, Emem Ayankop-Andi, Godwin J. Ibeh

Applied Mathematics Vol.11 No.7，July 9, 2020

DOI: 10.4236/am.2020.117037 823 Downloads 2,588 Views Citations
Discrete Heat Equation Model with Shift Values (Articles)

G. Britto Antony Xavier, S. John Borg, M. Meganathan

Applied Mathematics Vol.8 No.9，September 27, 2017

DOI: 10.4236/am.2017.89099 1,214 Downloads 2,452 Views Citations
New Periodic Solitary Wave Solutions for a Variable-Coefficient Gardner Equation from Fluid Dynamics and Plasma Physics (Articles)

Mohamed Aly Abdou

Applied Mathematics Vol.1 No.4，October 29, 2010

DOI: 10.4236/am.2010.14040 6,024 Downloads 11,001 Views Citations
Orbital Stability of Peakons for a Generalized Camassa-Holm Equation (Articles)

Xinhui Lu, Aiyong Chen, Tongjie Deng

Journal of Applied Mathematics and Physics Vol.7 No.10，October 8, 2019

DOI: 10.4236/jamp.2019.710151 698 Downloads 1,464 Views Citations
Fast Fourier Transform Based Computation of American Options under Economic Recession Induced Volatility Uncertainty (Articles)

Philip Ajibola Bankole, Olabisi O. Ugbebor

Journal of Mathematical Finance Vol.9 No.3，August 22, 2019

DOI: 10.4236/jmf.2019.93026 750 Downloads 2,183 Views Citations
Application of PDE and Mathematical Morphology in the Extraction Validation of the Roads (Articles)

Fabricio Leonardi, Viviane Sampaio Santiago, Carolina Dias Chaves, Erivaldo Antônio da Silva

Journal of Signal and Information Processing Vol.4 No.3，August 15, 2013

DOI: 10.4236/jsip.2013.43039 4,351 Downloads 5,757 Views Citations
New Implementation of Legendre Polynomials for Solving Partial Differential Equations (Articles)

Ali Davari, Abozar Ahmadi

Applied Mathematics Vol.4 No.12，December 3, 2013

DOI: 10.4236/am.2013.412224 5,714 Downloads 9,201 Views Citations
Parametrization to Improve the Solution Accuracy of Problems Involving the Bi-Dimensional Dirac Delta in the Forcing Function (Articles)

Enrique J. Chicurel-Uziel, Francisco A. Godínez

Journal of Applied Mathematics and Physics Vol.3 No.9，September 23, 2015

DOI: 10.4236/jamp.2015.39144 3,592 Downloads 4,264 Views Citations
The Advection Diffusion-in-Secondary Saturation Movement Equation and Its Application to Concentration Gradient-Driven Saturation Kinetic Flow (Articles)

Tafireyi Nemaura

Journal of Applied Mathematics and Physics Vol.4 No.11，November 14, 2016

DOI: 10.4236/jamp.2016.411200 1,153 Downloads 2,198 Views Citations
The Advection Wave-in-Secondary Saturation Movement Equation and Its Application to Concentration Tension-Driven Saturation Kinetic Flow (Articles)

Tafireyi Nemaura

Journal of Applied Mathematics and Physics Vol.4 No.12，December 6, 2016

DOI: 10.4236/jamp.2016.412210 1,067 Downloads 1,901 Views Citations
The Utilization of the Generating Function Technique in the Discovery of Solutions for the Three-Dimensional Navier-Stokes Equation System (Articles)

Robert Lloyd Jackson

Open Journal of Fluid Dynamics Vol.12 No.1，March 16, 2022

DOI: 10.4236/ojfd.2022.121005 205 Downloads 876 Views Citations
Java Simulation of Au Diffusion in Si Affected by Vacancies and Self-Interstitials: Partial Differential Equations (Articles)

Masami Morooka

Journal of Software Engineering and Applications Vol.5 No.10，October 31, 2012

DOI: 10.4236/jsea.2012.510089 3,910 Downloads 5,843 Views Citations
Mean Square Solutions of Second-Order Random Differential Equations by Using the Differential Transformation Method (Articles)

Ayad R. Khudair, S. A. M. Haddad, Sanaa L. Khalaf

Open Journal of Applied Sciences Vol.6 No.4，April 28, 2016

DOI: 10.4236/ojapps.2016.64028 2,621 Downloads 3,991 Views Citations
An Inequality for Second Order Differential Equation with Retarded Argument (Articles)

Erdoğan Şen

Advances in Pure Mathematics Vol.1 No.4，July 28, 2011

DOI: 10.4236/apm.2011.14043 5,352 Downloads 11,024 Views Citations
A Closed Form Solution to a Special Normal Form of Riccati Equation (Articles)

Haiduke Sarafian

Advances in Pure Mathematics Vol.1 No.5，September 21, 2011

DOI: 10.4236/apm.2011.15053 4,530 Downloads 9,342 Views Citations
Fixed Point Theorem and Fractional Differential Equations with Multiple Delays Related with Chaos Neuron Models (Articles)

Toshiharu Kawasaki, Masashi Toyoda

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

DOI: 10.4236/am.2015.613192 3,405 Downloads 4,716 Views Citations
This article belongs to the Special Issue on Fractional Calculus
Transfer Trajectory Design for Mars Exploration (Articles)

Jing Lü, Mingming Zhang, Qishao Lu

International Journal of Astronomy and Astrophysics Vol.3 No.2A，June 13, 2013

DOI: 10.4236/ijaa.2013.32A002 5,187 Downloads 9,084 Views Citations
This article belongs to the Special Issue on The Sun-Earth, Star-Planet and Planet-Moon Connections
Ion-Acoustic Higher Order Non-Linear Structures in Quantum Dusty Plasma (Articles)

Md Manir Hossain, Monirul Hasan, Md A saduzzaman, Md Mahfuzul Haque

Journal of Modern Physics Vol.4 No.11，November 28, 2013

DOI: 10.4236/jmp.2013.411187 4,765 Downloads 6,631 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 468 Downloads 1,302 Views Citations
Remarks on the Solution of Laplace’s Differential Equation and Fractional Differential Equation of That Type (Articles)

Tohru Morita, Ken-ichi Sato

Applied Mathematics Vol.4 No.11A，October 31, 2013

DOI: 10.4236/am.2013.411A1003 4,953 Downloads 7,306 Views Citations
This article belongs to the Special Issue on Functional Analysis

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