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Growth rate of transverse instabilities of solitary pulse solutions to a family of modified Zakharov-Kuznetsov equations
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Hongsit, Nongluk, Allen, Michael A. and Rowlands , George. (2008) Growth rate of transverse instabilities of solitary pulse solutions to a family of modified Zakharov-Kuznetsov equations. Physics Letters. Section A: General, Atomic and Solid State Physics, Vol.372 (No.14). pp. 2420-2422. ISSN 0375-9601
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Official URL: http://dx.doi.org/10.1016/j.physleta.2007.12.005
Abstract
Using the small-k expansion method, we obtain a closed-form expression for the growth rate of long-wavelength transverse instabilities of solitary pulse solutions to a modified Zakharov-Kuznetsov equation with a nonlinearity of the form (Au-P + Bu-2p)u(x). (c) 2007 Elsevier B.V. All rights reserved.
| Item Type: | Journal Article |
|---|---|
| Subjects: | Q Science > QC Physics |
| Divisions: | Faculty of Science > Physics |
| Library of Congress Subject Headings (LCSH): | Solitons, Stability |
| Journal or Publication Title: | Physics Letters. Section A: General, Atomic and Solid State Physics |
| Publisher: | Elsevier BV |
| ISSN: | 0375-9601 |
| Date: | 31 March 2008 |
| Volume: | Vol.372 |
| Number: | No.14 |
| Number of Pages: | 3 |
| Page Range: | pp. 2420-2422 |
| Identification Number: | 10.1016/j.physleta.2007.12.005 |
| Status: | Peer Reviewed |
| Publication Status: | Published |
| Access rights to Published version: | Restricted or Subscription Access |
| Funder: | Thailand. Krasūang Sưksāthikān [Ministry of Education] |
| References: | [1] E. Infeld, G. Rowlands, NonlinearWaves, Solitons and Chaos, second ed., Cambridge Univ. Press, Cambridge, 2000. [2] V.E. Zakharov, E.A. Kuznetsov, Sov. Phys. JETP 39 (1974) 285. [3] P.K. Shukla, R. Bharuthram, Phys. Rev. A 34 (1986) 4457. [4] K.P. Das, F. Verheest, J. Plasma Phys. 41 (1989) 139. [5] F. Verheest, R.L. Mace, S.R. Pillay, M.A. Hellberg, J. Phys. A: Math. Gen. 35 (2002) 795. [6] W.-S. Duan, Europhys. Lett. 66 (2004) 192. [7] G.C. Das, J. Sarma, Y.-T. Gao, C. Uberoi, Phys. Plasmas 7 (2000) 2374. [8] E.W. Laedke, K.H. Spatschek, J. Plasma Phys. 32 (1984) 263. [9] P. Frycz, E. Infeld, J.C. Samson, Phys. Rev. Lett. 69 (1992) 1057. [10] M.C. Jorge, G. Cruz-Pacheco, L. Mier-y-Teran-Romero, N.F. Smyth, Chaos 15 (2005) 037104. [11] E.W. Laedke, K.H. Spatschek, J. Plasma Phys. 28 (1982) 469. [12] M.A. Allen, The evolution of plane solitons, PhD thesis, University of Warwick, 1994. [13] S. Munro, E.J. Parkes, J. Plasma Phys. 64 (2000) 411. [14] J. Uppaman, Stability of solitary wave solutions of the extended Zakharov–Kuznetsov equation, Master’s thesis,Mahidol University, 2007. [15] M.A. Allen, S. Phibanchon, G. Rowlands, J. Plasma Phys. 73 (2007) 215. [16] W. Zhang, Q. Chang, B. Jiang, Chaos Solitons Fractals 13 (2002) 311. [17] G. Rowlands, J. Plasma Phys. 3 (1969) 567. [18] M.A. Allen, G. Rowlands, J. Plasma Phys. 50 (1993) 413. |
| URI: | http://wrap.warwick.ac.uk/id/eprint/30199 |
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