TY - JOUR
T1 - Group-Invariant Solutions and Conservation Laws of One-Dimensional Nonlinear Wave Equation
AU - Yang , Ben
AU - Song , Yunjia
AU - Ma , Yanzhi
AU - Zhang , Xinxue
JO - Journal of Nonlinear Modeling and Analysis
VL - 4
SP - 708
EP - 719
PY - 2023
DA - 2023/12
SN - 5
DO - http://doi.org/10.12150/jnma.2023.708
UR - https://global-sci.org/intro/article_detail/jnma/22203.html
KW - One-dimensional nonlinear wave equation, Lie symmetry, optimal
system, conservation law.
AB - <p style="text-align: justify;">Based on classical Lie symmetry method, the one-dimensional nonlinear wave equation is investigated. By using four-dimensional subalgebras of
the equation, the invariant groups and commutator table are constructed. Furthermore, optimal system of the equation is obtained, and the exact solutions
can be gained by solving reduced equations. Finally, a complete derivation of
the conservation law is given by using conservation multipliers.</p>