Two-dimensional wave propagation in a generalized elastic solid

Chaos, Solitons and Fractals

Volumn 12, Issue 2, 2001, Pages 381-389

  Babaoglu, Ceni ^a   Erbay, Saadet ^a  

^a ISTANBUL TECHNICAL UNIVERSITY   (Turkey)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; DISPERSION (WAVES); PERTURBATION TECHNIQUES; WAVE EQUATIONS; WAVE TRANSMISSION;

EULER-LAGRANGE EQUATIONS; KADOMTSEV-PETVIASHVILI EQUATIONS; REDUCTIVE PERTURBATION METHOD;

ELASTIC WAVES;

EID: 0343898229     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0960-0779(99)00182-4     Document Type: Article

References (12)

1. Infeld E, Rowlands G. Nonlinear waves, solitons and chaos. Cambridge: Cambridge University Press; 1992.
2. Ablowitz MJ, Clarkson PA. Solitons, nonlinear evolution equations and inverse scattering. Cambridge: Cambridge University Press; 1992.
3. Jeffrey A, Engelbrecht J. Nonlinear waves in solids. New York: Springer; 1994.
4. Engelbrecht J. Nonlinear wave dynamics, complexity and simplicity. Dordrecht: Kluwer Academic Publishers; 1997.
5. Bringen AC, Suhubi ES. Nonlinear theory of simple micro-elastic solids - I. Int J Engrg Sci 1964;2:189-203.
6. Suhubi ES, Bringen AC. Nonlinear theory of micro-elastic solids - II. Int J Engrg Sci 1964;2:389-404.
7. Erofeyev VI, Potapov AI. Nonlinear wave processes in elastic media with inner structure. In: Bar'yakhtar VG et al., editors. Nonlinear world. Singapore: World Scientific, 1989, pp. 1197-1215.
8. Erofeyev VI, Potapov AI. Longitudinal strain waves in non-linearly elastic media with couple stresses. Int J Non-Linear Mech 1993;28:483-8.
9. Erbay HA. Nonlinear transverse waves in a generalised elastic solid and the complex modified Korteweg-de Vries equation. Phys Scripta 1998;58:9-14.
10. Erbay S. Coupled modified Kadomtsev-Petviashvili equations in dispersive elastic media. Int J Non-Linear Mech 1999;34:289-97.
11. Konopelchenko BG, Dubrovsky VG. Some new integrable nonlinear evolution equations in 2 + 1 dimensions. Phys Lett 1984;102A:15-7.
12. Parkes EJ, Duffy BR. Travelling solitary wave solutions to a compound KdV-Burgers equation. Phys Lett 1997;229A:217-20.