CAJ | 학술논문

由于波动方程能够描述自然界的各种波动现象,因此研究这类方程在实际生活中有着重要的物理意义,其中对称性对方程的求解等起着重要作用.本文主要给出了一种波动方程的李对称,并由此给出了这个方程在各种对称下的群不变解.
유우파동방정능구묘술자연계적각충파동현상,인차연구저류방정재실제생활중유착중요적물리의의,기중대칭성대방정적구해등기착중요작용.본문주요급출료일충파동방정적리대칭,병유차급출료저개방정재각충대칭하적군불변해.
As wave equations can describe the vibration phenomena of nature, the study of such equations have a significant meaning in our life. The symmetry is very important to the solutions of a equation. In this paper, we deal with the Lie symmetry of the given equation and give the invariant solutions as to each Lie symmetry.