Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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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)
  • Published : 1998.09.01

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Abstract

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.

Keywords

References

  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
  2. ACTA PHYSICA SINICA v.46 Soliton Solutions of a class of Generalized Nonlinear Schrodinger Equations Q.Cao;T.Zhang;J.Li;G.W.Price;K.Djidjeli;E.H.Twizell
  3. Optics Letters v.19 it Stability of Passively mode-locked fiber lasers with fast saturable absorption C.J.Chen;P.K.A.Wai;C.R.Menyuk
  4. Soviet Physics Doklady v.15 On the stability of solitary waves in weakly dispersing media B.B.Kadomesev;V.I.Petviashvili
  5. Phil. Mag. v.39 On the change of form of long waves advancing in a rectangular channel, and a new type of long stationary wave D.J.Kordeweg;G.de Vries
  6. Sov. Phys. v.28 Modulation waves in a nonlinear dispersive media V.I.Karpman;E.M.Kruskal
  7. Physics Reports (Section C of Physical Letters) v.35 Dynamics of classical solitons (in non-integrable systems) V.G.Makhankov
  8. Proc. Roy. Soc. Edinburgh Report on water J.Scott-Russell
  9. Proc. IEEE v.61 The soliton: A new concept in applied science A.C.Scott;F.Y.F.Chu;D.W.Mclaughlin
  10. TETP Lett.2 Self-focussing of wave beams in nonlinear media V.I.Talanov
  11. Optics Letters v.12 Compensation of soliton broadening in nonlinear optical fibers with loss K.Tajima
  12. Optics Letters v.14 Propagation properties of dark solitons W.Zhao;E.Bourkoff