Periodical solution to the nonlinear dissipative equation for surface waves in a convecting liquid layer

Physics Letters, Section A: General, Atomic and Solid State Physics

Volumn 221, Issue 6, 1996, Pages 391-394

  Porubov, Alexey V ^a  

^a IOFFE INSTITUTE   (Russian Federation)

Author keywords

Nonlinear wave; Weierstrass function

Indexed keywords

LIQUIDS; SURFACE WAVES;

DISSIPATIVE EQUATIONS; FREE SURFACES; LIQUID LAYER; NONLINEAR WAVES; PERIODICAL WAVES; TRAVELLING WAVES; WEIERSTRASS ELLIPTIC FUNCTION; WEIERSTRASS FUNCTIONS;

NONLINEAR EQUATIONS;

EID: 0000913226     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/0375-9601(96)00598-1     Document Type: Article

References (15)

1. P.D. Weidman, H. Linde and M.G. Velarde, Phys. Fluids A 4 (1992) 921.
2. B.A. Bezuglyi and V.A. Maiorov, Zh. Naucchn. Prikl. Fotogr. Kinematogr. 26 (1981) 422.
3. R.D. Benguria and M.C. Depassier, Phys. Fluids A 1 (1989) 1123.
4. A.N. Garazo and M.G. Velarde, Phys. Fluids A 3 (1991) 2295.
5. A.V. Porubov, J. Phys. A 26 (1993) L797.
6. R.A. Kraenkel et al., Phys. Rev. A 45 (1992) 838.
7. G.B. Whitham, Linear and nonlinear waves (Wiley, New York, 1974).
8. A.V. Porubov, Free surface nonlinear waves on a viscous inhomogeneous liquid layer, Ph.D. thesis (Government Technical University, Saint Petersburg, 1995) [in Russian].
9. S. Lou et al., J. Phys. A 24 (1991) L587.
10. K.W. Chow, J. Math. Phys. 36 (1995) 4125.
11. A. Nakamura, J. Phys. Soc. Japan 47 (1979) 1701.
12. N.A. Kostov and I.M. Uzunov, Opt. Commun. 89 (1992) 389.
13. A.M. Samsonov, Appl. Anal. 57 (1995) 85.
14. E.T. Whittaker and G.N. Watson, A course of modern analysis (Cambridge Univ. Press, Cambridge, 1927).
15. J. Weiss, M. Tabor and G. Carnevale, J. Math. Phys. 24 (1983) 522.