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Inverse Scattering Method and Soliton Solution Family for String Effective Action |
| GAO Ya-Jun |
| Department of Physics, Bohai University, Jinzhou 121013 |
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| Cite this article: |
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GAO Ya-Jun 2009 Chin. Phys. Lett. 26 010202 |
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Abstract A modified Hauser--Ernst-type linear system is established and used to develop an inverse scattering method for solving the motion equations of the string effective action describing the coupled gravity, dilaton and Kalb-Ramond fields. The reduction procedures in this inverse scattering method are found to be fairly simple, which makes the proposed inverse scattering method applied fine and effective. As an application, a concrete family of soliton solutions for the considered theory is obtained.
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02.30.Ik
04.50.-h
04.20.Jb
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Received: 17 May 2008
Published: 24 December 2008
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| PACS: |
02.30.Ik
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(Integrable systems)
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04.50.-h
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(Higher-dimensional gravity and other theories of gravity)
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04.20.Jb
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(Exact solutions)
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[1] Maharana J and Schwarz J H 1993 Nucl. Phys. B 390 3
[2] Maharana J 1995 Phys. Rev. Lett. 75 205 Maharana J 1995 Phys. Lett. B 348 70 Maharana J 1996 Mod. Phys. Lett.
[2] Maharana J 1995 Phys. Lett. A 11 9
[3] Kumar A and Ray K 1995 Phys. Lett. B 358 223
[4] Das A, Maharana J and Melikyan A 2001 Phys. Lett. B 518 306 Das A, Maharana J and Melikyan A 2002 Phys. Lett. B 533 146
[5] Das A, Maharana J and Melikyan A 2004 Int. J. Mod.Phys. A 19 4503
[6] Belinsky V A and Zakharov V E 1978 Sov. Phys. JETP 48 985 Belinsky V A and Zakharov V E 1979 Sov. Phys. JETP 50 1
[7] Hauser I and Ernst F J 1980 J. Math. Phys. 211126
[8] Cosgrove C M 1980 J. Math. Phys. 21 2417 Cosgrove C M 1982 J. Math. Phys. 23 615
[9] Zhong Z Z 1988 Sci. Sin. A 31 436 Gao Y J and Zhong Z Z 1992 J. Math. Phys. 33 278
[10] Neugebauer G and Kramer D 1983 J. Phys. A: Math.Gen. 16 1927 Alekseev G A 1980 Pis. Zh. Eksp. Teor. Fiz.
[JETPLett.] 32 301 Eris A, Gurses M and Karasu A 1984 J. Math. Phys. 25 1489
[11] Bakas I 1994 Nucl. Phys. B 428 374 Bakas I 1996 Phys. Rev. D 54 6424 Yurova M V 2000 Gen. Rel. Grav. 32 2219 Kechkin O V 2003 Class. Quant. Grav. 20 2157 Kechkin O V 2003 Class. Quant. Grav. 20 L217 Gao Y J 2003 Gen. Rel. Grav. 35 1885
[12] Yurova M 2001 Phys. Rev. D 64 024022 Yurova M 2001 Phys. Rev. D 65 024024
[13] Sen A 1995 Nucl. Phys. B 434 179 Sen A 1995 Nucl. Phys. B 447 62 |
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