| APPLICATIONS OF THE P-R SCHEME FOR GENERALIZED NONLINEAR SCHRODINGER EQUATIONS IN SOLVING SOLITON SOLUTIONS |
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| 引用本文： | ZhangTiande CaoQingjie PriceG.W. DjidjeliK. TwizellE.H.. APPLICATIONS OF THE P-R SCHEME FOR GENERALIZED NONLINEAR SCHRODINGER EQUATIONS IN SOLVING SOLITON SOLUTIONS[J]. 高校应用数学学报(英文版), 1999, 14(1): 21-29. DOI: 10.1007/s11766-999-0051-9 |
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| 作者姓名： | ZhangTiande CaoQingjie PriceG.W. DjidjeliK. TwizellE.H. |
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| 作者单位： | [1]DepartmentofMathematicsandPhysics,ShandongUniversityofTechnology,Jinan250061. [2]DepartmentofShipScience,UniversityofSouthampton,SouthamptonSO171BJ,UK. [3]DepartmentofMathematicsandStatistics,BrunelUnivers [3][ty,Uxbridge,MiddlesexUB83PH. |
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| 摘 要： | Spatial soliton solutions of a class of generalized nonlinear Schrodinger equations in N-space are discussed analytically and numerically. This achieved using a traveling wavemethod to formulate one-soliton solution and the P-R method is employed to the numerlcal solutions and the interactions between the solirons for the generalized nonlinear systems in Z-pace.The results presented show that the soliton phenomena are characteristics associated with the nonlinearhies of the dynamical systems.
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| 关 键 词： | 空间孤波法 非线性方程 数学软件 P-R法 动力学系统 |
| 收稿时间： | 1997-10-10 |
Applications of the P-R scheme for generalized nonlinear Schrödinger equations in solving soliton solutions |
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| Zhang Tiande,Cao Qingjie,G. W. Price,K. Djidjeli,E. H. Twizell. Applications of the P-R scheme for generalized nonlinear Schrödinger equations in solving soliton solutions[J]. Applied Mathematics A Journal of Chinese Universities, 1999, 14(1): 21-29. DOI: 10.1007/s11766-999-0051-9 |
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| Authors: | Zhang Tiande Cao Qingjie G. W. Price K. Djidjeli E. H. Twizell |
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| Affiliation: | (1) Department of Mathematics and Physics, Shandong University of Technology, 250061 Jinan;(2) Department of Ship Science, University of Southampton, SO17 1BJ Southampton, UK;(3) Department of Mathematics and Statistics, Brunel University, UB8 3PH Uxbridge, Middlesex |
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| Abstract: | Spatial soliton solutions of a class of generalized nonlinear Schrödinger equations in N-space are discussed analytically and numerically. This achieved using a traveling wave method to formulate one-soliton solution and the P-R method is employed to the numerical solutions and the interactions between the solitons for the generalized nonlinear systems in 2-space. The results presented show that the soliton phenomena are characteristics associated with the nonlinearities of the dynamical systems. |
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| Keywords: | 35Q20 |
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