On the reduction of the hodograph equations for one-dimensional elastic-plastic wave propagation

Rogers, C.; Clements, D. L.

doi:10.1090/qam/455696

Authors: C. Rogers and D. L. Clements
Journal: Quart. Appl. Math. 32 (1975), 469-474
MSC: Primary 73.35
DOI: https://doi.org/10.1090/qam/455696
MathSciNet review: 455696
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R. Courant and K. O. Friedrichs, Supersonic Flow and Shock Waves, Interscience Publishers, Inc., New York, N. Y., 1948. MR 0029615
E. H. Lee, A boundary value problem in the theory of plastic wave propagation, Quart. Appl. Math. 10 (1953), 335–346. MR 52301, DOI https://doi.org/10.1090/S0033-569X-1953-52301-X

A. V. Baecklund, Om ytor med konstant negativ krökning, Lunds Universitets Årsskrift 19 (1883)

C. Rogers, Iterated Baecklund-type transformations and the propagation of disturbances in nonlinear elastic materials, J. Math. Anal. Appl. 49 (1975), 638–648. MR 399678, DOI https://doi.org/10.1016/0022-247X%2875%2990203-6
Charles Loewner, A transformation theory of the partial differential equations of gas dynamics, Tech. Notes Nat. Adv. Comm. Aeronaut. 1950 (1950), no. 2065, 56. MR 0044712