GROUP PROPERTIES AND SIMILARITY SOLUTIONS FOR A QUASI-LINEAR WAVE-EQUATION IN THE PLANE

SUHUBI, ES; BAKKALOGLU, A

GROUP PROPERTIES AND SIMILARITY SOLUTIONS FOR A QUASI-LINEAR WAVE-EQUATION IN THE PLANE

Atıf İçin Kopyala

SUHUBI E., BAKKALOGLU A.

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, cilt.26, sa.5, ss.567-584, 1991 (SCI İndekslerine Giren Dergi)

Cilt numarası: 26 Konu: 5
Basım Tarihi: 1991
Dergi Adı: INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS
Sayfa Sayıları: ss.567-584

Özet

The symmetry groups associated with the quasi-linear wave equation u(tt) = [f(u(x), u(t), u, x, t)]x are investigated by employing techniques of the exterior calculus. Certain special cases corresponding to particular choices of the function f are studied in detail and some similarity solutions (invariant solutions) are constructed explicitly.