Open AccessSTUDY OF SOLITON SOLUTIONS OF A CLASS OF GENERALIZED NONLINEAR SCHR?DINGER EQUATIONS IN N-SPACE
Author(s) -
Qingjie Cao,
Zhang Tian-de,
Jiuping Li,
G. W. Price,
K. Djidjeli,
E. H. Twizell
Publication year - 1997
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.46.2166
Subject(s) - soliton , nonlinear system , space (punctuation) , convergence (economics) , class (philosophy) , physics , dissipative soliton , scheme (mathematics) , stability (learning theory) , mathematical analysis , mathematical physics , mathematics , quantum mechanics , computer science , artificial intelligence , operating system , machine learning , economics , economic growth
Soliton solutions and the properties of a class of generalized nonlinear Schr?dinger (GNLS) equations in N-space are discussed analytically and numerically. The discussion has been done by using a travelling wave method to get one soliton solution and the finite difference method to get the numerical solutions for the GNLS equations. The states of the soliton solutions of the system admitting nonlinearity have been investigated when α→0 and α→∞.The P-R scheme for the system has been studied, and the conditions of stability and convergence for the scheme were obtained.