Bounded Traveling Wave Solutions and Their Relations for the Generalized HD Type Equation
The generalized HD type equation is studied by using the bifurcation method of dynamical systems. From a dynamic point of view, the existence of different kinds of traveling waves which include periodic loop soliton, periodic cusp wave, smooth periodic wave, loop soliton, cuspon, smooth solitary wav...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2016-01-01
|
| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2016/5383527 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832566949710659584 |
|---|---|
| author | Qing Meng Bin He |
| author_facet | Qing Meng Bin He |
| author_sort | Qing Meng |
| collection | DOAJ |
| description | The generalized HD type equation is studied by using the bifurcation method of dynamical systems. From a dynamic point of view, the existence of different kinds of traveling waves which include periodic loop soliton, periodic cusp wave, smooth periodic wave, loop soliton, cuspon, smooth solitary wave, and kink-like wave is proved and the sufficient conditions to guarantee the existence of the above solutions in different regions of the parametric space are given. Also, all possible exact parametric representations of the bounded waves are presented and their relations are stated. |
| format | Article |
| id | doaj-art-6774689c6cc54ae3a24921af74b6d314 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-6774689c6cc54ae3a24921af74b6d3142025-02-03T01:02:43ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2016-01-01201610.1155/2016/53835275383527Bounded Traveling Wave Solutions and Their Relations for the Generalized HD Type EquationQing Meng0Bin He1Department of Physics, Honghe University, Mengzi, Yunnan 661100, ChinaCollege of Mathematics, Honghe University, Mengzi, Yunnan 661100, ChinaThe generalized HD type equation is studied by using the bifurcation method of dynamical systems. From a dynamic point of view, the existence of different kinds of traveling waves which include periodic loop soliton, periodic cusp wave, smooth periodic wave, loop soliton, cuspon, smooth solitary wave, and kink-like wave is proved and the sufficient conditions to guarantee the existence of the above solutions in different regions of the parametric space are given. Also, all possible exact parametric representations of the bounded waves are presented and their relations are stated.http://dx.doi.org/10.1155/2016/5383527 |
| spellingShingle | Qing Meng Bin He Bounded Traveling Wave Solutions and Their Relations for the Generalized HD Type Equation Discrete Dynamics in Nature and Society |
| title | Bounded Traveling Wave Solutions and Their Relations for the Generalized HD Type Equation |
| title_full | Bounded Traveling Wave Solutions and Their Relations for the Generalized HD Type Equation |
| title_fullStr | Bounded Traveling Wave Solutions and Their Relations for the Generalized HD Type Equation |
| title_full_unstemmed | Bounded Traveling Wave Solutions and Their Relations for the Generalized HD Type Equation |
| title_short | Bounded Traveling Wave Solutions and Their Relations for the Generalized HD Type Equation |
| title_sort | bounded traveling wave solutions and their relations for the generalized hd type equation |
| url | http://dx.doi.org/10.1155/2016/5383527 |
| work_keys_str_mv | AT qingmeng boundedtravelingwavesolutionsandtheirrelationsforthegeneralizedhdtypeequation AT binhe boundedtravelingwavesolutionsandtheirrelationsforthegeneralizedhdtypeequation |