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Volumn 34, Issue 49, 2001, Pages

Grammian N-soliton solutions of a coupled KdV system

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EID: 0035862012 PISSN: 03054470 EISSN: None Source Type: Journal
DOI: 10.1088/0305-4470/34/49/106 Document Type: Article

Times cited : (14)

References (10)

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- Karasu A and Sakovich S Yu 2001 Bäcklund transformation and special solutions for the Drinfeld-Sokolov-Satsuma-Hirota system of coupled equations J. Phys. A: Math. Gen. 34 7355-8
- (2001) J. Phys. A: Math. Gen. , vol.34 , pp. 7355-7358
- Karasu, A.¹ Sakovich, S.Yu.²

2
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- The Painlevé property for partial differential equations
- Weiss J, Tabor M and Carnevale G 1983 The Painlevé property for partial differential equations J. Math. Phys. 24 522-6
- (1983) J. Math. Phys. , vol.24 , pp. 522-526
- Weiss, J.¹ Tabor, M.² Carnevale, G.³

3
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- Equations of Korteweg-de Vries type and simple Lie algebras
- Drinfel'd V G and Sokolov V V 1981 Equations of Korteweg-de Vries type and simple Lie algebras Sov. Math.-Dokl. 23 457-62
- (1981) Sov. Math.-Dokl. , vol.23 , pp. 457-462
- Drinfel'd, V.G.¹ Sokolov, V.V.²

4
- 84891310274
- Breaking solitons in 2+ 1-dimensional integrable equations
- Bogoyavlenskii O I 1990 Breaking solitons in 2+ 1-dimensional integrable equations Russ. Math. Surv. 45 1-86
- (1990) Russ. Math. Surv. , vol.45 , pp. 1-86
- Bogoyavlenskii, O.I.¹

5
- 0039359643
- A coupled KdV equations is one case of the four-reduction of the KP hierarchy
- Satsuma J and Hirota R 1982 A coupled KdV equations is one case of the four-reduction of the KP hierarchy J. Phys. Soc. Japan 51 3390-7
- (1982) J. Phys. Soc. Japan , vol.51 , pp. 3390-3397
- Satsuma, J.¹ Hirota, R.²

6
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- Sur les équations différentielles du second ordre et du premier degré dont l'intégrale générale est à points critiques fixes
- Gambier B 1910 Sur les équations différentielles du second ordre et du premier degré dont l'intégrale générale est à points critiques fixes Acta Math. 33 1-55
- (1910) Acta Math. , vol.33 , pp. 1-55
- Gambier, B.¹

7
- 0032357771
- Bäcklund transformation of partial differential equations from the Painlevé-Gambier classification, I. Kaup-Kupershmidt equation
- Musette M and Conte R 1998 Bäcklund transformation of partial differential equations from the Painlevé-Gambier classification, I. Kaup-Kupershmidt equation J. Math. Phys. 39 5617-30
- (1998) J. Math. Phys. , vol.39 , pp. 5617-5630
- Musette, M.¹ Conte, R.²

8
- 0000259839
- Nonlinear superposition formula for the Kaup-Kupershmidt partial differential equation
- Musette M and Verhoeven C 2000 Nonlinear superposition formula for the Kaup-Kupershmidt partial differential equation Physica D 144 211-20
- (2000) Physica D , vol.144 , pp. 211-220
- Musette, M.¹ Verhoeven, C.²

9
- 0002039001
- A bilinear N-soliton formula for the KP equation
- Nakamura A 1989 A bilinear N-soliton formula for the KP equation J. Phys. Soc. Japan 58 412-22
- (1989) J. Phys. Soc. Japan , vol.58 , pp. 412-422
- Nakamura, A.¹

10
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- Extended soliton solution for the Kaup-Kupershmidt equation
- Verhoeven C and Musette M 2001 Extended soliton solution for the Kaup-Kupershmidt equation J. Phys. A: Math. Gen. 34 2515-23
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- Verhoeven, C.¹ Musette, M.²

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