| EXACT SOLITARY WAVE AND SOLITONSOLUTIONS OF THE FIFTH ORDER MODEL EQUATION |
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| 作者姓名： | 李志斌 柳银萍 王明亮 |
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| 作者单位： | Li Zhibin，Liu Yinping (Department of Computer Science，East China Normal University. Shanghai 200062，China) Wang Mingliang (Department of Mathematics. Lanzhou University，Lanzhou 730000. China) |
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| 基金项目： | the State Key Program of Basic Research of China (G1998030600). and the Natural Science Foundation of Shanghai, China(ZD14012) |
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| 摘 要： | 1 Introduction and Mds ResultsMathematical modeling of physical systems Often leads to nonlinear evolution equations.EXat solutions of such equations axe of haPortance in physical problexns, and in Particu1arthere is considerable interest in solitary wave solutiOns and soliton solutions. In this paPer, wepresent tlie solitary wave and sOliton sOlutions Of a fiftli order nonlillear evolution eqllation.Suppose u(x, t) satisfies fOllowing nonlinear 5th-order evolutiOn equation Of the fOrmut…
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| 收稿时间： | 6 March 2000 |
EXACT SOLITARY WAVE AND SOLITON SOLUTIONS OF THE FIFTH ORDER MODEL EQUATION |
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| Li Zhibin,Liu Yinping.EXACT SOLITARY WAVE AND SOLITONSOLUTIONS OF THE FIFTH ORDER MODEL EQUATION[J].Acta Mathematica Scientia,2002,22(1):138-144. |
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| Authors: | Li Zhibin Liu Yinping |
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| Institution: | 1. Munzur University, Department of Computer Engineering, Tunceli, Turkey;2. Firat University, Department of Mathematics, Elazig, Turkey;1. Department of Physics, Chemistry and Mathematics, Alabama A&M University, Normal, AL 35762-7500, USA;2. Department of Mathematics and Statistics, Tshwane University of Technology, Pretoria 0008, South Africa;3. Department of Mathematics, University of the Punjab, Lahore 54590, Pakistan;4. Department of Mathematics, Faculty of Science and Arts, Yozgat Bozok University, 66100 Yozgat, Turkey;5. School of Electronics and Information Engineering, Wuhan Donghu University, Wuhan 430212, People''s Republic of China;6. Gulf University, Communication and Networks Engineering, Bahrain;7. Science Program, Texas A&M University at Qatar, PO Box 23874, Doha, Qatar;1. Department of Mathematics and Statistics, School of Basic and Applied Sciences, Central University of Punjab, Bathinda, Punjab 151401, India;2. Department of Mathematics, College of Arts and Sciences, Wadi Aldawaser, 11991, Prince Sattam bin Abdulaziz University, Saudi Arabia;3. Department of Mathematics, College of Science, King Khalid University, P.O. Box 9004, 61413 Abha, Saudi Arabia;4. Department of Mathematics, Faculty of Science, Al-Azhar University, 71524 Assiut, Egypt;1. Department of Mathematics, Jiangsu University, Zhenjiang, Jiangsu 212013, PR China;2. Mathematics Department, Faculty of Science, Taibah University, Al-Madinah Al-Munawarah, Saudi Arabia;3. Mathematics Department, Faculty of Science, Beni-Suef University, Egypt;1. Physics Department, Faculty of Sciences, University of Bisha, Bisha 61922, PO Box 344, Saudi Arabia;2. Theoretical Research Group, Physics Department, Faculty of Science, Mansoura University, 35516 Mansoura, Egypt;3. Department of Mathematics, College of Science, University of Bisha, Bisha 61922, P.O Box 344, Saudi Arabia;4. Department of Mathematics, Faculty of Science, Arish University, AL-Arish 45111, Egypt |
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| Abstract: | With the aid of nonlinear transformations, and using the symbolic manipulation system, the exact solitary wave and soliton solutions to a fifth order nonlinear evolution equation with general coefficients are obtained, and the corresponding sufficient conditions that the equation admits of these type of solutions are given. From the results one can see how the apparently changes in the coefficients would effect the solutions. |
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| Keywords: | Solitary wave Soliton symbolic manipulation |
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