GENERAL |
|
|
|
|
Renormalization Group Method for Soliton Evolution in a Perturbed KdV Equation |
TU Tao, WANG Lin-Jun, HAO Xiao-Jie, GUO Guang-Can, GUO Guo-Ping |
Key Laboratory of Quantum Information, University of Science and Technology of China, Hefei 230026 |
|
Cite this article: |
TU Tao, WANG Lin-Jun, HAO Xiao-Jie et al 2009 Chin. Phys. Lett. 26 060501 |
|
|
Abstract We show that the conventional renormalization group method can be used to give an analytic description of the evolution of a soliton in a perturbed KdV equation. The renormalization group equations describe the deformation of the soliton as the effect of perturbations. The method is concise and easy to understand and the results obtained agree with the results of other approaches.
|
Keywords:
05.10.Cc
05.45.Yv
64.60.Ae
02.30.Mv
|
|
Received: 21 November 2008
Published: 01 June 2009
|
|
|
|
|
|
[1]Stanley H E 1971 Introduction to Phase Transitions andCritical Phenomena (Oxford: Oxford University) [2] Zinn-Justin J 1989 Quantum Field Theory and CriticalPhenomena (Oxford: Clarendon) [3] Chen L Y, Goldenfeld N, and Oono Y 1994 Phys. Rev.Lett. 73 1311 [4] Chen L Y, Goldenfeld N and Oono Y 1996 Phys. Rev. E 54 376 [5] Nozaki K, Oono Y and Shiwa Y 2000 Phy. Rev. E 62 4501 [6] Nozaki K and Oono Y 2000 Phy. Rev. E 62 4501 [7] Shiwa Y 2001 Phys. Rev. E 63 016119 [8] Tu T and Cheng G 2002 Phys. Rev. E 66 046625 [9] Kivshar Y S and Malomed B A 1989 Rev. Mod. Phys. 61 763 [10] Kaup D J 1976 SIAM J. Appl. Math. 31 121 [11] Kaup D J and Newll A C 1978 Proc. R. Soc. LondonA 361 413 [12] Karpman V I 1977 JETP Lett. 25 271 [13] Karpman V I and Maslov E M 1977 Sov. Phys. JETP 46 281 [14] Keener J P and McLaughlin D W 1977 J. Math. Phys. 18 2008 [15] Keener J P and McLaughlin D W 1977 Phys. Rev. A 16 777 [16] McLaughlin D W and Scott A C 1978 Phys. Rev. A 18 1652 [17] Herman R L 1990 J. Phys. A 23 2327 [18] Yan J and Tang Y 1996 Phys. Rev. E 54 6816 [19] Mann E 1997 J. Math. Phys. 38 3772 [20] Peskin M E and Schroeder D V 1995 An Introduction toQuantum Field Theory (New York: Addison-Wesley) [21] Gell-Mann M and Low F E 1954 Phys. Rev. 951300 [22] Karpman V I 1977 Phys. Lett. A 60 307 |
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|