Exact travelling-wave solutions of an integrable equation arising in hyperelastic rods

Wave Motion

Volumn 28, Issue 4, 1998, Pages 367-381

  Dai, H H ^a  

^a CITY UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0040599108     PISSN: 01652125     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0165-2125(98)00014-6     Document Type: Article

References (9)

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2. R. Camassa, D.D. Holm, J.M. Hyman, A new integrable shallow water equation, Adv. Appl. Mech. 31 (1994) 1-33.
3. H.H. Dai, Model equations for nonlinear dispersive waves in a compressible Mooney-Rivlin rod, Acta Mech. 127 (1998) 193-207.
4. M.S. Alber, R. Camassa, D.D. Holm, I.E. Marsden, The geometry of peaked solitons and billiard solutions of a class of integrable PDEs, Lett. Math. Phys. 32 (1994) 137-151.
5. H. Cohen, H.-H. Dai, R.G. Muncaster, Travelling waves in a Mooney-Rivlin elastic rod, Arch. Rational Mech. Anal., submitted.
6. A.M. Samsonov, Nonlinear strain waves in elastic waveguides, in: A. Jeffrey, J. Engelbrecht (Eds.), Nonlinear Waves in Solids, Springer, New York, pp. 349-382.
7. J.P. Boyd, Peakons and coshoidal waves: travelling-wave solutions of the Camassa-Holm equation, Appl. Math. Comput. 81 (1997) 173-187.
8. F. Cooper, H. Shepard, Solitons in the Camassa-Holm shallow-water equation, Phys. Lett. A 194 (1994) 246-250.
9. P.F. Byrd, M.D. Friedman, Handbook of Elliptic Integrals for Engineers and Scientists, Springer, Berlin, 1954.