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Online ISSN 1552-4485; Print ISSN 0033-569X
Interaction of longitudinal waves with transverse waves in dispersive nonlinear elastic media. I
Author:
Y. M. Chen
Journal:
Quart. Appl. Math. 29 (1971), 125-133
MSC:
Primary 73.35
DOI:
https://doi.org/10.1090/qam/285172
MathSciNet review:
285172
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References | Similar Articles | Additional Information
- D. R. Bland, Nonlinear dynamic elasticity, Blaisdell Publishing Co. [Ginn and Co.], Waltham, Mass.-Toronto, Ont.-London, 1969. MR 0356636
- Y. M. Chen and P. L. Christiansen, Application of a modified Newton’s iteration method to construct solutions of eigenvalue problems of nonlinear partial differential operators, SIAM J. Appl. Math. 18 (1970), 335–345. MR 260187, DOI https://doi.org/10.1137/0118028
- Herbert B. Keller, Nonlinear bifurcation, J. Differential Equations 7 (1970), 417–434. MR 264255, DOI https://doi.org/10.1016/0022-0396%2870%2990090-2
- L. D. Landau and E. M. Lifshitz, Theory of elasticity, Course of Theoretical Physics, Vol. 7, Pergamon Press, London-Paris-Frankfurt; Addison-Wesley Publishing Co., Inc., Reading, Mass., 1959. Translated by J. B. Sykes and W. H. Reid. MR 0106584
- Joseph B. Keller and Lu Ting, Periodic vibrations of systems governed by nonlinear partial differential equations, Comm. Pure Appl. Math. 19 (1966), 371–420. MR 205520, DOI https://doi.org/10.1002/cpa.3160190404
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Article copyright:
© Copyright 1971
American Mathematical Society