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N-Soliton Solutions of Non-Isospectral Derivative Nonlinear Schrödinger Equation |
ZHAO Song-Lin, ZHANG Da-Jun, CHEN Deng-Yuan |
Department of Mathematics, Shanghai University, Shanghai 200444 |
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Cite this article: |
ZHAO Song-Lin, ZHANG Da-Jun, CHEN Deng-Yuan 2009 Chin. Phys. Lett. 26 030202 |
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Abstract Bilinear forms of the non-isospectral derivative nonlinear Schrödinger equation are derived. The N-soliton solutions of this equation are obtained by Hirota's method.
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Keywords:
02.30.Ik
02.30.Jr
05.45.Yv
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Received: 06 October 2008
Published: 19 February 2009
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[1] Chen H H and Liu C S 1976 Phys. Rev. Lett. 37693 [2] Hirota R and Satsuma J 1976 J. Phys. Soc. Jpn. 41 2141 [3] Calogero F and Degasperis A 1978 Commun. Math. Phys. 63 155 [4] Ma W X 1990 J. Phys. A: Math. Gen. 23 2707 [5] Ma W X 1992 J. Phys. A: Math. Gen. 25 5329 [6] Ma W X 1992 J. Math. Phys. 33 2464 [7] Ma W X and Fuchssteiner B 1999 J. Math. Phys. 40 2400 [8] Tamizhmani K M and Ma W X 2000 J. Phys. Soc. Jpn. 69 351 [9] Chen D Y and Zhang H W 1991 J. Phys. A: Gen. Math. 24 377 [10] Chen D Y and Zhang D J 1996 J. Math. Phys. 375524 [11] Burtsev S P, Zakharov V E and Mikhailov A V 1987 Theore. Math. Phys. 70 227 [12] Kaup D J and Newell A C 1978 J. Math. Phys. 19 798 [13] Chen H H, Lee Y C and Liu C S 1979 Phys. Scr. 20 490 [14] Kakei S, Sasa N and Satsuma J 1995 J. Phys. Soc.Jpn. 64 1519 [15] Kundu A 1987 Physica D 25 399 [16] Fan E G 2000 J. Phys. A: Math. Gen 33 6925 [17] Fan E G 2001 Comm. Theor. Phys. 35 651 [18] Zhai W and Chen D Y 2008 Commun. Theor. Phys. 49 1101 [19] Zhai W and Chen D Y 2008 Phys. Lett. A 3724217 [20] Gupta M R 1979 Phys. Lett. A 72 420 [21] Zhang D J and Chen D Y 2004 J. Phys. A: Gen. Math. 37 851 [22] Ning T K, Chen D Y and Zhang D J 2004 Chaos,Solitons and Fractals 21 395 [23] Deng S F and Qin Z Y 2006 Phys. Lett. A 357467 [24] Deng S F 2006 Chin. Phys. Lett. 23 1662 [25] Zhang D J 2006 Chin. Phys. Lett. 23 2349 [26] Hirota R 1971 Phys. Rev. Lett. 27 1192 [27] Freeman N C and Nimmo J J C 1983 Phys. Lett. A 95 1 [28] Hirota R 2004 The Direct Methods in Soliton Theory(Cambridge: Cambridge University Press) [29] Chen D Y 2006 Introduction of Soliton Theory(Beijing: Science Press) (in Chinese) [30] Fan E G and Zhang H Q 2000 J. Math. Phys. 412058 [31] Matveev V B 1992 Phys. Lett. A 166 209 [32] Deng S F and Chen D Y 2001 J. Phys. Soc. Jpn. 70 3174 |
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