TY - JOUR
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
SP - 539
LP - 547
M3 - 10.1098/rspa.1953.0039
VL - 216
IS - 1127
AU -
Y1 - 1953/02/24
UR - http://rspa.royalsocietypublishing.org/content/216/1127/539.abstract
N2 - 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.
ER -