Travelling Wave Solutions of Nonlinear Dynamical Equations in a Double-Chain Model of DNA
We consider the nonlinear dynamics in a double-chain model of DNA which consists of two long elastic homogeneous strands connected with each other by an elastic membrane. By using the method of dynamical systems, the bounded traveling wave solutions such as bell-shaped solitary waves and periodic wa...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/317543 |
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| _version_ | 1832545475186655232 |
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| author | Zheng-yong Ouyang Shan Zheng |
| author_facet | Zheng-yong Ouyang Shan Zheng |
| author_sort | Zheng-yong Ouyang |
| collection | DOAJ |
| description | We consider the nonlinear dynamics in a double-chain model of DNA which consists of two long elastic homogeneous strands connected with each other by an elastic membrane. By using the method of dynamical systems, the bounded traveling wave solutions such as bell-shaped solitary waves and periodic waves for the coupled nonlinear dynamical equations of DNA model are obtained and simulated numerically. For the same wave speed, bell-shaped solitary waves of different heights are found to coexist. |
| format | Article |
| id | doaj-art-d8600ea6bb4e4fa28eb3f8dc527d0595 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-d8600ea6bb4e4fa28eb3f8dc527d05952025-02-03T07:25:49ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/317543317543Travelling Wave Solutions of Nonlinear Dynamical Equations in a Double-Chain Model of DNAZheng-yong Ouyang0Shan Zheng1Department of Mathematics, Foshan University, Foshan Guangdong 528000, ChinaGuangzhou Maritime College, Guangzhou Guangdong 510725, ChinaWe consider the nonlinear dynamics in a double-chain model of DNA which consists of two long elastic homogeneous strands connected with each other by an elastic membrane. By using the method of dynamical systems, the bounded traveling wave solutions such as bell-shaped solitary waves and periodic waves for the coupled nonlinear dynamical equations of DNA model are obtained and simulated numerically. For the same wave speed, bell-shaped solitary waves of different heights are found to coexist.http://dx.doi.org/10.1155/2014/317543 |
| spellingShingle | Zheng-yong Ouyang Shan Zheng Travelling Wave Solutions of Nonlinear Dynamical Equations in a Double-Chain Model of DNA Abstract and Applied Analysis |
| title | Travelling Wave Solutions of Nonlinear Dynamical Equations in a Double-Chain Model of DNA |
| title_full | Travelling Wave Solutions of Nonlinear Dynamical Equations in a Double-Chain Model of DNA |
| title_fullStr | Travelling Wave Solutions of Nonlinear Dynamical Equations in a Double-Chain Model of DNA |
| title_full_unstemmed | Travelling Wave Solutions of Nonlinear Dynamical Equations in a Double-Chain Model of DNA |
| title_short | Travelling Wave Solutions of Nonlinear Dynamical Equations in a Double-Chain Model of DNA |
| title_sort | travelling wave solutions of nonlinear dynamical equations in a double chain model of dna |
| url | http://dx.doi.org/10.1155/2014/317543 |
| work_keys_str_mv | AT zhengyongouyang travellingwavesolutionsofnonlineardynamicalequationsinadoublechainmodelofdna AT shanzheng travellingwavesolutionsofnonlineardynamicalequationsinadoublechainmodelofdna |