Many Families of Exact Solutions for Nonlinear System of Partial Differential Equations Describing the Dynamics of DNA

被引：4

作者：

Zayed, Elsayed M. E. ^{[1
]}

Arnous, Ahmed H. ^{[2
]}

机构：

[1] Zagazig Univ, Fac Sci, Math Dept, Zagazig, Egypt

[2] Higher Inst Engn, Dept Engn Math & Phys, El Shorouk, Egypt

来源：

JOURNAL OF PARTIAL DIFFERENTIAL EQUATIONS | 2013年 / 26卷 / 04期

关键词：

Nonlinear dynamics of DNA model; exact solutions; improved generalized Riccati equation mapping method; double-chain model of DNA;

D O I：

10.4208/jpde.v26.n4.5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The objective of this paper is to apply the improved generalized Riccati equation mapping method to find many families of exact traveling wave solutions for the general nonlinear dynamic system in a new double-chain model of DNA. This model consists of two long elastic homogeneous strands connected with each other by an elastic membrane. Hyperbolic and trigonometric function solutions of this model are obtained. Comparison between our results and the well-known results are given.

引用

页码：373 / 384

页数：12

共 50 条

[21] Exact periodic wave solutions for some nonlinear partial differential equations
El-Wakil, S. A.
Elgarayhi, A.
Elhanbaly, A.
CHAOS SOLITONS & FRACTALS, 2006, 29 (04) : 1037 - 1044
[22] AN EXACT SOLUTION TO THE SYSTEM OF NONLINEAR DIFFERENTIAL-EQUATIONS SIMULATING TORSIONAL DYNAMICS OF DNA
YAKUSHEVICH, LV
ZHURNAL FIZICHESKOI KHIMII, 1995, 69 (08): : 1415 - 1418
[23] Dynamics and exact solutions of non-evolutionary partial differential equations
Kushner, Alexei G.
Matviichuk, Ruslan, I
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 2021, 76
[24] Exact Travelling Wave Solutions of two Important Nonlinear Partial Differential Equations
Kim, Hyunsoo
Bae, Jae-Hyeong
Sakthivel, Rathinasamy
ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2014, 69 (3-4): : 155 - 162
[25] Explicit Jacobi elliptic exact solutions for nonlinear partial fractional differential equations
Gepreel, Khaled A.
ADVANCES IN DIFFERENCE EQUATIONS, 2014,
[26] Study of coupled nonlinear partial differential equations for finding exact analytical solutions
Khan, Kamruzzaman
Akbar, M. Ali
Koppelaar, H.
ROYAL SOCIETY OPEN SCIENCE, 2015, 2 (07):
[27] Exact Traveling Wave Solutions and Simulation For A Class Nonlinear Partial Differential Equations
Ran, Yan Ping
PROCEEDINGS OF THE 2015 INTERNATIONAL SYMPOSIUM ON COMPUTERS & INFORMATICS, 2015, 13 : 2605 - 2611
[28] Explicit Jacobi elliptic exact solutions for nonlinear partial fractional differential equations
Khaled A Gepreel
Advances in Difference Equations, 2014
[29] On exact solutions of some higher-dimensional nonlinear partial differential equations
Inc, M
Evans, DJ
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2005, 82 (06) : 743 - 754
[30] A computational procedure for exact solutions of Burgers’ hierarchy of nonlinear partial differential equations
U. Obaidullah
Sameerah Jamal
Journal of Applied Mathematics and Computing, 2021, 65 : 541 - 551

← 1 2 3 4 5 →