| SOLITON SOLUTIONS OF A CLASS OF GENERALIZED NONLINEAR SCHRODINGER EQUATIONS |
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| 引用本文： | CAOQINGJIE ZHANGTIANDE K.DJIDJELI G.W.PRice E.H.TWIZELL. SOLITON SOLUTIONS OF A CLASS OF GENERALIZED NONLINEAR SCHRODINGER EQUATIONS[J]. 高校应用数学学报(英文版), 1997, 12(4): 389-398. DOI: 10.1007/s11766-997-0041-8 |
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| 作者姓名： | CAOQINGJIE ZHANGTIANDE K.DJIDJELI G.W.PRice E.H.TWIZELL |
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| 作者单位： | [1]DepartmentofMathematicsandPhysics,ShangdongUniversityofTechnology,Jinan.Chlna,250061 [2]DepartmentoFMathematicsandPhysics,ShangdongUniver.~ityo~Tecl~nology,Jinan.China,250061 [3]DepartmentofShipScience,UniversityofSouthampton,SouthamptonSo171BJ,England. [4]DepartmentofShipScience,UniversityofSouthampton,SouthamptonSO171BJ,England [5]DepartmentofMathematicsandStatistics,BrunelUniversity,Uxbridge,MiddlesexUB83PH,England. |
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| 摘 要： | Soliton solutions of a class of generalized nonlinear evolution equations are discussed ana-lytically and numerically. This is done by using a travelling wave method to formulate one-soliton solution and the finite difference method to the numerical solutions and the interactions betweenthe solitons for the generalized nonlinear Sehrodinger equations. the characteristic behavior of thenonlinearity admintted in the system has been investigated and the soliton states of the system in thelimit when a→Oand a→∞ have been studled. The results presented show that the soliton phe-rtomenon is charaeteristics associated with the nonlinearities of the dynamical systems.
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| 关 键 词： | 孤波解 广义性 SCHRODINGER方程 非线性方程 |
| 收稿时间： | 1996-11-18 |
Soliton solutions of a class of generalized nonlinear schrÖdinger equations |
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| Cao Qingjie,Zhang Tiande,K. Djidjeli,G. W. Price,E. H. Twizell. Soliton solutions of a class of generalized nonlinear schrÖdinger equations[J]. Applied Mathematics A Journal of Chinese Universities, 1997, 12(4): 389-398. DOI: 10.1007/s11766-997-0041-8 |
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| Authors: | Cao Qingjie Zhang Tiande K. Djidjeli G. W. Price E. H. Twizell |
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| Affiliation: | (1) Department of Mathematics and Physics, Shangdong University of Technology, 250061 Jinan, China;(2) Department of Ship Science, University of Southampton, Sol7 1BJ Southampton, England;(3) Department of Ship Science, University of Southampton, SO17 1BJ Southampton, England;(4) Department of Mathematics and Statistics, Brunei University, UB8 3PH Uxbridge, Middlesex, England |
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| Abstract: | Soliton solutions of a class of generalized nonlinear evolution equations are discussed analytically and numerically. This is done by using a travelling wave method to formulate one-soliton solution and the finite difference method to the numerical solutions and the interactions between the solitons for the generalized nonlinear Schrodinger equations. The characteristic behavior of the nonlinearity admitted in the system has been investigated and the soliton states of the system in the limit when α → 0 and α → ∞have been studied. The results presented show triat the soliton phenomenon is characteristics associated with the nonlinearities of the dynamical systems. Supported by the National Natural Science Foundation,the State Education Commission of China and the Royal Society. |
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| Keywords: | Soliton solution generalized nonlinear Schr?dinger equation weighted six-point scheme |
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