Discrete modeling of a string and analysis of a loop soliton

Journal of Applied Mechanics, Transactions ASME

Volumn 65, Issue 3, 1998, Pages 737-747

  Nishinari, K ^a  

^a YAMAGATA UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; ELASTICITY; EQUATIONS OF MOTION; MATHEMATICAL MODELS; PERTURBATION TECHNIQUES; SOLITONS; STIFFNESS; TENSILE STRENGTH;

CONTINUOUS STRING THEORY; DISCRETE SOLITON THEORY;

DYNAMICS;

EID: 0032158055     PISSN: 00218936     EISSN: 15289036     Source Type: Journal    
DOI: 10.1115/1.2789118     Document Type: Article

References (7)

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2. Doi, M, and Edwards, S. F., 1986, The Theory of Polymer Dynamics, Clarendon Press, Oxford, UK.
3. Doliwa, A., and Santini, P. M., 1994, “Integrable dynamics of a discrete curve and the Ablowitz-Ladik hierarchy,” preprint I FT UW/6/94.
4. Goldstein, R. E., and Petrich, D. M, 1991, “The Korteweg-de Vries Hierarchy as Dynamics of Closed Curves in the Plane,” Physical Review Letters, Vol. 67, pp. 3203-3206
5. Ichikawa, Y. H., Konno, K., and Wadati, M., 1981, “Nonlinear Transverse Oscillation of Elastic Beams under Tension,” Journal of the Physical Society of Japan, Vol. 50, pp. 1799-1802.
6. Kuznetsov, E. A., Rubenchik, A. M. and Zakharov, V. E., 1986, “Soliton Stability in Plasmas and Hydrodynamics,” Physics Reports, Vol. 142, pp. 103-165.
7. Nishinari, K., 1997, “Nonlinear Dynamics of Solitary Waves in an Extensible Rod,” Proceedings of the Royal Society of London, Vol. A453, pp. 817-833