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New Solutions for an Elliptic Equation Method and Its Applications in Nonlinear Evolution Equations
(Articles)
Minghuan Liu
,
Yuanguang Zheng
Journal of Applied Mathematics and Physics
Vol.10 No.8
,August 11, 2022
DOI:
10.4236/jamp.2022.108164
183
Downloads
874
Views
Citations
Bifurcations, Analytical and Non-Analytical Traveling Wave Solutions of (2 + 1)-Dimensional Nonlinear Dispersive Boussinesq Equation
(Articles)
Dahe Feng
,
Jibin Li
,
Airen Zhou
Applied Mathematics
Vol.15 No.8
,August 19, 2024
DOI:
10.4236/am.2024.158033
86
Downloads
341
Views
Citations
The exp(-φ(ξ))-Expansion Method and Its Application for Solving Nonlinear Evolution Equations
(Articles)
Mahmoud A. E. Abdelrahman
,
Emad H. M. Zahran
,
Mostafa M. A. Khater
Int'l J. of Modern Nonlinear Theory and Application
Vol.4 No.1
,March 11, 2015
DOI:
10.4236/ijmnta.2015.41004
5,595
Downloads
8,141
Views
Citations
RETRACTED:
The Modified Simple Equation Method and Its Applications in Mathematical Physics and Biology
(Articles)
Mahmoud A. E. Abdelrahman
,
Magdi Hakeem Armanious
,
Emad H. M. Zahran
,
Mostafa M. A. Khater
American Journal of Computational Mathematics
Vol.5 No.1
,March 12, 2015
DOI:
10.4236/ajcm.2015.51001
4,760
Downloads
8,994
Views
Citations
Extended Jacobian Elliptic Function Expansion Method and Its Applications in Biology
(Articles)
Emad H. M. Zahran
,
Mostafa M. A. Khater
Applied Mathematics
Vol.6 No.7
,June 25, 2015
DOI:
10.4236/am.2015.67107
3,300
Downloads
4,595
Views
Citations
This article belongs to the Special Issue on
Mathematical Modelling of Natural Phenomena
Analytical Treatment of the Evolutionary (1 + 1)-Dimensional Combined KdV-mKdV Equation via the Novel (G'/G)-Expansion Method
(Articles)
Md. Nur Alam
,
Fethi Bin Muhammad Belgacem
,
M. Ali Akbar
Journal of Applied Mathematics and Physics
Vol.3 No.12
,December 8, 2015
DOI:
10.4236/jamp.2015.312181
4,089
Downloads
5,284
Views
Citations
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
497
Downloads
1,578
Views
Citations
Exact Traveling Wave Solutions for Nano-Solitons of Ionic Waves Propagation along Microtubules in Living Cells and Nano-Ionic Currents of MTs
(Articles)
Emad H. M. Zahran
World Journal of Nano Science and Engineering
Vol.5 No.3
,August 24, 2015
DOI:
10.4236/wjnse.2015.53010
5,788
Downloads
6,800
Views
Citations
Modified Adomain Decomposition Method for the Generalized Fifth Order KdV Equations
(Articles)
Huda O. Bakodah
American Journal of Computational Mathematics
Vol.3 No.1
,March 27, 2013
DOI:
10.4236/ajcm.2013.31008
4,865
Downloads
8,723
Views
Citations
Rogue Wave for the Benjamin Ono Equation
(Articles)
Lili Song
,
Wei Chen
,
Zhenhui Xu
,
Hanlin Chen
Advances in Pure Mathematics
Vol.5 No.2
,February 13, 2015
DOI:
10.4236/apm.2015.52010
3,319
Downloads
4,512
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
2,788
Downloads
4,024
Views
Citations
Reduced Vector Helmholtz Wave Equation Analysis on the Wave-Number Side
(Articles)
Randy Ott
Journal of Electromagnetic Analysis and Applications
Vol.11 No.9
,September 29, 2019
DOI:
10.4236/jemaa.2019.119011
630
Downloads
1,449
Views
Citations
Exact Solutions for a Class of Nonlinear PDE with Variable Coefficients Using ET and ETEM
(Articles)
Shifei Sun
,
Lina Chang
,
Hanze Liu
Journal of Applied Mathematics and Physics
Vol.7 No.11
,November 5, 2019
DOI:
10.4236/jamp.2019.711183
668
Downloads
1,900
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
603
Downloads
1,636
Views
Citations
Time Dependent Wave Propagation Modeling Using Finite Difference Scheme of 2D Wave Equation Based on Absorbing and Reflecting Boundaries
(Articles)
M. Joni Alam
,
W. Z. Loskor
,
M. Mohiuddin
Journal of Applied Mathematics and Physics
Vol.9 No.9
,September 26, 2021
DOI:
10.4236/jamp.2021.99148
444
Downloads
2,860
Views
Citations
A Novel Method for Solving Nonlinear Schrödinger Equation with a Potential by Deep Learning
(Articles)
Chaojun Zhang
,
Yuexing Bai
Journal of Applied Mathematics and Physics
Vol.10 No.10
,October 27, 2022
DOI:
10.4236/jamp.2022.1010211
333
Downloads
1,500
Views
Citations
Modeling the Infection Disease (Covid-19) and the Effect of Vaccination
(Articles)
Hanadi Alzubadi
Applied Mathematics
Vol.14 No.7
,July 13, 2023
DOI:
10.4236/am.2023.147027
189
Downloads
1,191
Views
Citations
Solitons and Bifurcations for the Generalized Tzitzéica Type Equation in Nonlinear Fiber Optics
(Articles)
Xujie Jiang
Journal of Applied Mathematics and Physics
Vol.11 No.10
,October 30, 2023
DOI:
10.4236/jamp.2023.1110201
121
Downloads
430
Views
Citations
Applying the General Riccati Equation to Construct New Solitary Wave Solutions with Complex Structure of Burgers-Fisher Equation
(Articles)
Bicheng Wu
,
Hongyan Pan
Open Journal of Applied Sciences
Vol.14 No.12
,December 31, 2024
DOI:
10.4236/ojapps.2024.1412241
36
Downloads
205
Views
Citations
Global Solution of a Nonlinear Conservation Law with Weak Discontinuous Flux in the Half Space
(Articles)
Xiaoqian Li
,
Jing Zhang
American Journal of Computational Mathematics
Vol.8 No.4
,December 29, 2018
DOI:
10.4236/ajcm.2018.84026
710
Downloads
1,437
Views
Citations
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