RT Journal Article
SR Electronic
T1 On sound waves of finite amplitude
JF Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
JO Proc R Soc Lond A Math Phys Sci
FD The Royal Society
SP 539
OP 547
DO 10.1098/rspa.1953.0039
VO 216
IS 1127
A1
YR 1953
UL http://rspa.royalsocietypublishing.org/content/216/1127/539.abstract
AB An analytical solution of Riemann’s equations for the one-dimensional propagation of sound waves of finite amplitude in a gas obeying the adiabatic law p = kργ is obtained for any value of the parameter γ. The solution is in the form of a complex integral involving an arbitrary function which is found from the initial conditions by solving a generalization of Abel’s integral equation. The results are applied to the problem of the expansion of a gas cloud into a vacuum.