Multiple Soliton Solutions of the Sawada-Kotera Equation with a Nonvanishing Boundary Condition and the Perturbed Korteweg de Vries Equation by Using the Multiple Exp-Function Scheme
The Sawada-Kotera equation with a nonvanishing boundary condition, which models the evolution of steeper waves of shorter wavelength than those depicted by the Korteweg de Vries equation, is analyzed and also the perturbed Korteweg de Vries (pKdV) equation. For this goal, a capable method known as t...
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| Format: | Article |
| Language: | English |
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Wiley
2019-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2019/3175213 |
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| author | Abdullahi Rashid Adem Mohammad Mirzazadeh Qin Zhou Kamyar Hosseini |
| author_facet | Abdullahi Rashid Adem Mohammad Mirzazadeh Qin Zhou Kamyar Hosseini |
| author_sort | Abdullahi Rashid Adem |
| collection | DOAJ |
| description | The Sawada-Kotera equation with a nonvanishing boundary condition, which models the evolution of steeper waves of shorter wavelength than those depicted by the Korteweg de Vries equation, is analyzed and also the perturbed Korteweg de Vries (pKdV) equation. For this goal, a capable method known as the multiple exp-function scheme (MEFS) is formally utilized to derive the multiple soliton solutions of the models. The MEFS as a generalization of Hirota’s perturbation method actually suggests a systematic technique to handle nonlinear evolution equations (NLEEs). |
| format | Article |
| id | doaj-art-9409f1ed50cd4447b95b312a03171cec |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-9409f1ed50cd4447b95b312a03171cec2025-08-20T03:37:27ZengWileyAdvances in Mathematical Physics1687-91201687-91392019-01-01201910.1155/2019/31752133175213Multiple Soliton Solutions of the Sawada-Kotera Equation with a Nonvanishing Boundary Condition and the Perturbed Korteweg de Vries Equation by Using the Multiple Exp-Function SchemeAbdullahi Rashid Adem0Mohammad Mirzazadeh1Qin Zhou2Kamyar Hosseini3Department of Mathematical Sciences, North-West University, Private Bag X 2046, Mmabatho 2735, South AfricaDepartment of Engineering Sciences, Faculty of Technology and Engineering, East of Guilan, University of Guilan, Rudsar 44891-63157, IranSchool of Electronics and Information Engineering, Wuhan Donghu University, Wuhan 430212, ChinaDepartment of Mathematics, Rasht Branch, Islamic Azad University, Rasht, IranThe Sawada-Kotera equation with a nonvanishing boundary condition, which models the evolution of steeper waves of shorter wavelength than those depicted by the Korteweg de Vries equation, is analyzed and also the perturbed Korteweg de Vries (pKdV) equation. For this goal, a capable method known as the multiple exp-function scheme (MEFS) is formally utilized to derive the multiple soliton solutions of the models. The MEFS as a generalization of Hirota’s perturbation method actually suggests a systematic technique to handle nonlinear evolution equations (NLEEs).http://dx.doi.org/10.1155/2019/3175213 |
| spellingShingle | Abdullahi Rashid Adem Mohammad Mirzazadeh Qin Zhou Kamyar Hosseini Multiple Soliton Solutions of the Sawada-Kotera Equation with a Nonvanishing Boundary Condition and the Perturbed Korteweg de Vries Equation by Using the Multiple Exp-Function Scheme Advances in Mathematical Physics |
| title | Multiple Soliton Solutions of the Sawada-Kotera Equation with a Nonvanishing Boundary Condition and the Perturbed Korteweg de Vries Equation by Using the Multiple Exp-Function Scheme |
| title_full | Multiple Soliton Solutions of the Sawada-Kotera Equation with a Nonvanishing Boundary Condition and the Perturbed Korteweg de Vries Equation by Using the Multiple Exp-Function Scheme |
| title_fullStr | Multiple Soliton Solutions of the Sawada-Kotera Equation with a Nonvanishing Boundary Condition and the Perturbed Korteweg de Vries Equation by Using the Multiple Exp-Function Scheme |
| title_full_unstemmed | Multiple Soliton Solutions of the Sawada-Kotera Equation with a Nonvanishing Boundary Condition and the Perturbed Korteweg de Vries Equation by Using the Multiple Exp-Function Scheme |
| title_short | Multiple Soliton Solutions of the Sawada-Kotera Equation with a Nonvanishing Boundary Condition and the Perturbed Korteweg de Vries Equation by Using the Multiple Exp-Function Scheme |
| title_sort | multiple soliton solutions of the sawada kotera equation with a nonvanishing boundary condition and the perturbed korteweg de vries equation by using the multiple exp function scheme |
| url | http://dx.doi.org/10.1155/2019/3175213 |
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