TY - JOUR
T1 - Symmetry Reductions, Exact Solutions and Conservation Laws of the (3 + 1)-dimensional Nonlinear Evolution Equation
AU - Wen-JianLIU
JO - Journal of Information and Computing Science
VL - 4
SP - 315
EP - 320
PY - 2024
DA - 2024/01
SN - 7
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jics/22638.html
KW - (3+1)-dimensional nonlinear evolution equation
KW -  modified CK direct method
KW -  direct symmetry 
method
KW -  exact solution
KW -  conservation laws 

AB -   Using  the  modified  CK's  direct  method, we  build  the  relationship  between new  solutions  and 
old ones and the (3+1)-dimensional nonlinear evolution equation. Based on the invariant group theory, Lie 
symmetries  of  the  (3+1)-dimensional  nonlinear  evolution  equation  are  obtained.  In  addition,  applying  the 
given  Lie  symmetry,  we  obtain  the  similarity  reduction  and  new  exact  solutions,  At  last,  we  give  the 
conservation laws of the (3+1)-dimensional nonlinear evolution equation.