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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: |
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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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