Inverse scattering method and soliton double solution family for string effective action

• Authors: Ya-Jun Gao
• Languages of publication: EN

Abstracts

EN

A so-called modified Hauser-Ernst-type extended double-complex linear system is established and used to develop a new inverse scattering method for solving the equations of motion 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 application of the inverse scattering method fine and effective. As an application, a concrete family of soliton double solutions for the considered theory is obtained.

Keywords

EN

string effective action; inverse scattering method; extended double-complex function method; soliton double solution family

Discipline

• 02.30.Ik: Integrable systems
• 04.50.-h: Higher-dimensional gravity and other theories of gravity(see also 11.25.Mj Compactification and four-dimensional models, 11.25.Uv D branes)
• 02.30.Jr: Partial differential equations
• 04.20.Jb: Exact solutions

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2009
• Volume: 7
• Issue: 4
• Pages: 821-828

Dates

published

1 - 12 - 2009

online

21 - 7 - 2009

Contributors

author

Ya-Jun Gao

• Department of Physics, Bohai University, Jinzhou, 121013, Liaoning, P. R. China

References

• [1] J. Maharana, J.H. Schwarz, Nucl. Phys. B 390, 3 (1993) http://dx.doi.org/10.1016/0550-3213(93)90387-5[Crossref]
• [2] J.H. Schwarz, Nucl. Phys. B 447, 137 (1995) http://dx.doi.org/10.1016/0550-3213(95)00276-X[Crossref]
• [3] J. Maharana, Phys. Rev. Lett. 75, 205 (1995) http://dx.doi.org/10.1103/PhysRevLett.75.205[Crossref]
• [4] J. Maharana, Phys. Lett. B 348, 70 (1995) http://dx.doi.org/10.1016/0370-2693(95)00090-8[Crossref]
• [5] A. Kumar, K. Ray, Phys. Lett. B 358, 223 (1995) http://dx.doi.org/10.1016/0370-2693(95)01035-O[Crossref]
• [6] J. Maharana, Mod. Phys. Lett. A 11, 9 (1996) http://dx.doi.org/10.1142/S0217732396000035[Crossref]
• [7] A. Das, J. Maharana, A. Melikyan, Phys. Lett. B 518, 306 (2001) http://dx.doi.org/10.1016/S0370-2693(01)01067-X[Crossref]
• [8] A. Das, J. Maharana, A. Melikyan, Phys. Lett. B 533, 146 (2002) http://dx.doi.org/10.1016/S0370-2693(02)01578-2[Crossref]
• [9] A. Das, J. Maharana, A. Melikyan, Int. J. Mod. Phys. A 19, 4503 (2004) http://dx.doi.org/10.1142/S0217751X04019937[Crossref]
• [10] H. Lu, M.J. Perry, C.N. Pope, arXiv:0711.0400 [WoS]
• [11] V.A. Belinsky, V.E. Zakharov, Sov. Phys. JETP 48, 985 (1978)
• [12] V.A. Belinsky, V.E. Zakharov, Sov. Phys. JETP 50, 1 (1979)
• [13] I. Hauser, F.J. Ernst, J. Math. Phys. 21, 1126 (1980) http://dx.doi.org/10.1063/1.524536[Crossref]
• [14] C.M. Cosgrove, J. Math. Phys. 21, 2417 (1980) http://dx.doi.org/10.1063/1.524680[Crossref]
• [15] C.M. Cosgrove, J. Math. Phys. 23, 615 (1982) http://dx.doi.org/10.1063/1.525399[Crossref]
• [16] Z.Z. Zhong, Sci. Sin. A 31, 436 (1988)
• [17] Y.J. Gao, Z.Z. Zhong, J. Math. Phys. 33, 278 (1992) http://dx.doi.org/10.1063/1.529962[Crossref]
• [18] G. Neugebauer, D. Kramer, J. Phys. A-Math. Gen. 16, 1927 (1983) http://dx.doi.org/10.1088/0305-4470/16/9/017[Crossref]
• [19] G.A. Alekseev, Pis. Zh. Eksp. Teor. Fiz. 32, 301 (1980)
• [20] A. Eris, M. Gurses, A. Karasu, J. Math. Phys. 25, 1489 (1984) http://dx.doi.org/10.1063/1.526320[Crossref]
• [21] I. Bakas, Nucl. Phys. B 428, 374 (1994) http://dx.doi.org/10.1016/0550-3213(94)90205-4[Crossref]
• [22] I. Bakas, Phys. Rev. D 54, 6424 (1996) http://dx.doi.org/10.1103/PhysRevD.54.6424[Crossref]
• [23] M.V. Yurova, Gen. Rel. Grav. 32, 2219 (2000) http://dx.doi.org/10.1023/A:1001955710550[Crossref]
• [24] O.V. Kechkin, Class. Quant. Grav. 20, 2157 (2003) http://dx.doi.org/10.1088/0264-9381/20/11/315[Crossref]
• [25] Y.J. Gao, Gen. Rel. Grav. 35, 1885 (2003) http://dx.doi.org/10.1023/A:1026211414773[Crossref]
• [26] M. Yurova, Phys. Rev. D 64, 024022 (2001)
• [27] M. Yurova, Phys. Rev. D 65, 024024 (2001)
• [28] A. Sen, Nucl. Phys. B 434, 179 (1995) http://dx.doi.org/10.1016/0550-3213(94)00461-M[Crossref]
• [29] A. Sen, Nucl. Phys. B 447, 62 (1995) http://dx.doi.org/10.1016/0550-3213(95)00277-Y[Crossref]
• [30] Y.J. Gao, Z.Z. Zhong, Y.X. Gui, J. Math. Phys. 38, 3155 (1997) http://dx.doi.org/10.1063/1.532016[Crossref]
• [31] Z.Z. Zhong, J. Math. Phys. 26, 2589 (1985) http://dx.doi.org/10.1063/1.526972[Crossref]
• [32] Y.J. Gao, J. Math. Phys. 44, 5656 (2003) http://dx.doi.org/10.1063/1.1624092[Crossref]

Identifiers

DOI

10.2478/s11534-008-0156-4