The properties of propagation and collision of soliton solutions of a generally nonlinear Schrodinger equation have been investigated using numerical simulation and fourth - order Runge-Kutta method. The results show that the solitons are stable in propagation and can retain themselves forms after collision, which is the same with that of the classical particles. However, a wave peak of large amplitude, which is a result of complicated superposition of two solitary waves, occur in the colliding process, which displays the wave feature of the solitons. Therefore, the soliton solutions of the nonlinear Schrodinger equation possess both corpuscle and wave feature. Obviously, this is due to the nonlinear interaction b vertical bar phi(2)vertical bar phi.
部门归属
[xiao-feng, pang] univ elect sci & technol china, inst life sci & technol, chengdu 610054, peoples r china. [xiao-feng, pang] chinese acad sci, int ctr mat phys, shenyang 110015, peoples r china.;xiao-feng, p (reprint author), univ elect sci & technol china, inst life sci & technol, chengdu 610054, peoples r china;pangxf2006@yahoo.com.cn
P. Xiao-Feng. The Collision Properties of Soliton Solutions of a Generally Nonlinear Scherodinger Equation[J]. International Journal of Nonlinear Sciences and Numerical Simulation,2010,11(12):1069-1075.
APA
P. Xiao-Feng.(2010).The Collision Properties of Soliton Solutions of a Generally Nonlinear Scherodinger Equation.International Journal of Nonlinear Sciences and Numerical Simulation,11(12),1069-1075.
MLA
P. Xiao-Feng."The Collision Properties of Soliton Solutions of a Generally Nonlinear Scherodinger Equation".International Journal of Nonlinear Sciences and Numerical Simulation 11.12(2010):1069-1075.
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