Open AccessA notes on the variable separation approach
Author(s) -
Desheng Li,
Hongqing Zhang
Publication year - 2004
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.53.1639
Subject(s) - simple (philosophy) , transformation (genetics) , variable (mathematics) , nonlinear system , evolution equation , class (philosophy) , separation (statistics) , mathematics , mathematical analysis , computer science , physics , quantum mechanics , philosophy , chemistry , biochemistry , statistics , epistemology , artificial intelligence , gene
Starting from the B-cklund transformation and using Cole-Hopf transformation,we reduce a class of nonlinear evolution equations in (2+1)-dimensional spaces to a simple nonlinear evolution equation with two arbitrary functions of {x,t} and {y,t}.We can obtain some new exact solutions of the original equations by studying the simple nonlinear evolution equation which includes some solutions obtained by the variable separation approach.