Journal of applied mathematics & informatics

  • 제5권3호
  • /
  • Pages.615-632
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  • 1998
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  • 2734-1194(pISSN)
  • /
  • 2234-8417(eISSN)
한국전산응용수학회 (The Korean Society for Computational and Applied Mathematics)
권호 표지

APPLICATIONS OF THE WEIGHTED SCHEME FOR GNLS EQUATIONS IN SOLVING SOLITON SOLUTIONS

  • Zhang, Tiande (Department of Mathematics and Physics Shandong Univeristy of Technology) ;
  • Cao, Qingjie (Department of Mathematics and Physics Shandong Univeristy of Technology) ;
  • Price, G.W. (Department of Ship Science University of Southampton) ;
  • Djidjeli, K. (Department of Ship Science University of Southampton) ;
  • Twizell, E.H. (Department of Mathematics and Statistics Uxbridge)
  • 발행 : 1998.09.01

⟨ 이전 논문 다음 논문 ⟩

초록

Soliton solutions of a class of generalized nonlinear evo-lution equations are discussed analytically and numerically which is achieved using a travelling wave method to formulate one-soliton solution and the finite difference method to the numerical dolutions and the interactions between the solitons for the generalized nonlinear Schrodinger equations. The characteristic behavior of the nonlinear-ity admitted in the system has been investigated and the soliton state of the system in the limit of $\alpha\;\longrightarrow\;0$ and $\alpha\;\longrightarrow\;\infty$ has been studied. The results presented show that soliton phenomena are character-istics associated with the nonlinearities of the dynamical systems.

키워드

참고문헌

  1. Chinese J. of Computational Physics v.14 The Study of the Soliton Solutions of a class of Generalized Nonlinear Schrodinger Equations Q.Cao;T.Zhang;G.W.Price;K.Djidjeli;E.H.Twizell
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