Exact Solutions of a High-Order Nonlinear Wave Equation of Korteweg-de Vries Type under Newly Solvable Conditions
By using the integral bifurcation method together with factoring technique, we study a water wave model, a high-order nonlinear wave equation of KdV type under some newly solvable conditions. Based on our previous research works, some exact traveling wave solutions such as broken-soliton solutions,...
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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/10.1155/2014/714214 |
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| _version_ | 1832551723219025920 |
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| author | Weiguo Rui |
| author_facet | Weiguo Rui |
| author_sort | Weiguo Rui |
| collection | DOAJ |
| description | By using the integral bifurcation method together with factoring technique, we study a water wave model, a high-order nonlinear wave equation of KdV type under some newly solvable conditions. Based on our previous research works, some exact traveling wave solutions such as broken-soliton solutions, periodic wave solutions of blow-up type, smooth solitary wave solutions, and nonsmooth peakon solutions within more extensive parameter ranges are obtained. In particular, a series of smooth solitary wave solutions and nonsmooth peakon solutions are obtained. In order to show the properties of these exact solutions visually, we plot the graphs of some representative traveling wave solutions. |
| format | Article |
| id | doaj-art-1ce76dfb21db412d9f215b98b3e9dfc5 |
| 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-1ce76dfb21db412d9f215b98b3e9dfc52025-02-03T06:00:44ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/714214714214Exact Solutions of a High-Order Nonlinear Wave Equation of Korteweg-de Vries Type under Newly Solvable ConditionsWeiguo Rui0College of Mathematics, Chongqing Normal University, Chongqing 401331, ChinaBy using the integral bifurcation method together with factoring technique, we study a water wave model, a high-order nonlinear wave equation of KdV type under some newly solvable conditions. Based on our previous research works, some exact traveling wave solutions such as broken-soliton solutions, periodic wave solutions of blow-up type, smooth solitary wave solutions, and nonsmooth peakon solutions within more extensive parameter ranges are obtained. In particular, a series of smooth solitary wave solutions and nonsmooth peakon solutions are obtained. In order to show the properties of these exact solutions visually, we plot the graphs of some representative traveling wave solutions.http://dx.doi.org/10.1155/2014/714214 |
| spellingShingle | Weiguo Rui Exact Solutions of a High-Order Nonlinear Wave Equation of Korteweg-de Vries Type under Newly Solvable Conditions Abstract and Applied Analysis |
| title | Exact Solutions of a High-Order Nonlinear Wave Equation of Korteweg-de Vries Type under Newly Solvable Conditions |
| title_full | Exact Solutions of a High-Order Nonlinear Wave Equation of Korteweg-de Vries Type under Newly Solvable Conditions |
| title_fullStr | Exact Solutions of a High-Order Nonlinear Wave Equation of Korteweg-de Vries Type under Newly Solvable Conditions |
| title_full_unstemmed | Exact Solutions of a High-Order Nonlinear Wave Equation of Korteweg-de Vries Type under Newly Solvable Conditions |
| title_short | Exact Solutions of a High-Order Nonlinear Wave Equation of Korteweg-de Vries Type under Newly Solvable Conditions |
| title_sort | exact solutions of a high order nonlinear wave equation of korteweg de vries type under newly solvable conditions |
| url | http://dx.doi.org/10.1155/2014/714214 |
| work_keys_str_mv | AT weiguorui exactsolutionsofahighordernonlinearwaveequationofkortewegdevriestypeundernewlysolvableconditions |