Physical dynamics of quasi-particles in nonlinear wave equations

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

Volumn 372, Issue 6, 2008, Pages 841-848

  Christov, Ivan ^a   Christov, C I ^b  

^a TEXAS A AND M UNIVERSITY   (United States)

^b UNIVERSITY OF LOUISIANA AT LAFAYETTE   (United States)

Author keywords

Nonlinear wave quantization; Quasi particles; Sine Gordon equation; Solitons; Variational approximation

Indexed keywords

CALCULATIONS; DYNAMICS; SINE-GORDON EQUATION; SOLITONS; VARIATIONAL TECHNIQUES;

GOVERNING EQUATIONS; LINEAR SUPERPOSITIONS; NONLINEAR FIELD EQUATIONS; NONLINEAR WAVE EQUATION; NONLINEAR WAVES; QUASI PARTICLES; TWO SOLITON SOLUTIONS; VARIATIONAL APPROXIMATION;

NONLINEAR EQUATIONS;

EID: 38149102348     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physleta.2007.08.038     Document Type: Article

References (30)

1. Perring J.K., and Skyrme T.H.R. Nucl. Phys. 31 (1962) 550
2. Rubinstein J. J. Math. Phys. 11 (1970) 258
3. Zabusky N.J., and Kruskal M.D. Phys. Rev. Lett. 15 (1965) 240
4. Filippov A.T. The Versatile Soliton (2000), Birkhäuser, Boston
5. Dauxois T., and Peyrard M. Physics of Solitons (2006), Cambridge Univ. Press, Cambridge
6. Bullough R.K., and Caudrey P.J. The soliton and its history. In: Bullough R.K., and Caudrey P.J. (Eds). Solitons. Topics in Current Physics vol. 17 (1980), Springer-Verlag, Berlin 1-64
7. Maugin G.A., and Christov C.I. Nonlinear duality between elastic waves and quasi-particles. In: Christov C.I., and Guran A. (Eds). Selected Topics in Nonlinear Wave Mechanics (2002), Birkhäuser, Boston 117-152
8. Kaup D.J., and Newell A.C. Proc. R. Soc. London, Ser. A 361 (1978) 413
9. Bowtell G., and Stuart A.E.G. Phys. Rev. D 15 (1977) 3580
10. Boesch R., Stancioff P., and Willis C.R. Phys. Rev. B 38 (1988) 6713
11. Sugiyama T. Prog. Theor. Phys. 61 (1979) 1550
12. Campbell D.K., Schonfeld J.F., and Wingate C.A. Physica D 9 (1983) 1
13. Karpman V.I., and Solov'ev V.V. Physica D 3 (1981) 487
14. Ferguson C.D., and Willis C.R. Physica D 119 (1998) 283
15. Kaup D.J., and Malomed B.A. Physica D 84 (1995) 319
16. Malomed B., and Weinstein M.I. Phys. Lett. A 220 (1996) 91
17. Kaup D.J. Math. Comput. Simul. 69 (2005) 322
18. Rice M.J. Phys. Rev. B 28 (1983) 3587
19. Lou S.Y., Hu H.-C., and Tang X.-Y. Phys. Rev. E 71 (2005) 036604
20. Fogel M.B., Trullinger S.E., Bishop A.R., and Krumhansl J.A. Phys. Rev. B 15 (1977) 1578
21. Reinisch G., and Fernandez J.C. Phys. Rev. B 24 (1981) 835
22. Jordan P.M. Phys. Lett. A 326 (2004) 77
23. Jordan P.M. Phys. Lett. A 355 (2006) 216
24. Christov C.I., and Velarde M.G. Physica D 86 (1995) 323
25. Jaisaardsuetrong J., and Straughan B. Phys. Lett. A 366 (2007) 433
26. Bergman D.J., Ben-Jacob E., Imry Y., and Maki K. Phys. Rev. A 27 (1983) 3345
27. Kaup D.J. Phys. Rev. B 29 (1984) 1072
28. Kaup D.J., and Vogel T.K. Phys. Lett. A 362 (2007) 289
29. Milton G.W., and Willis J.R. Proc. R. Soc. A 463 (2007) 855
30. Kleppner D., and Kolenkow R. An Introduction to Mechanics (1973), McGraw-Hill, New York