Deng, Shu-Fang The multisoliton solutions for the nonisospectral mKPI equation with self-consistent sources. (English) Zbl 1217.35141 Phys. Lett., A 372, No. 4, 460-464 (2008). Summary: The nonisospectral mKPI equation with self-consistent sources is derived through the linear problem of the nonisospectral mKPI system. The bilinear form of the nonisospectral mKPI equation with self-consistent sources is given and the \(N\)-soliton solutions are obtained through Hirota method and Wronskian technique respectively. Cited in 5 Documents MSC: 35Q35 PDEs in connection with fluid mechanics 37J35 Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests 35Q51 Soliton equations 58J53 Isospectrality Keywords:nonisospectral mKPI equation with self-consistent sources; Hirota method; Wronskian technique PDFBibTeX XMLCite \textit{S.-F. Deng}, Phys. Lett., A 372, No. 4, 460--464 (2008; Zbl 1217.35141) Full Text: DOI References: [1] Mel’nikov, V. K., Phys. Lett. A, 118, 22 (1986) [2] Mel’nikov, V. K., Commun. Math. Phys., 112, 639 (1987) [3] Mel’nikov, V. K., J. Math. Phys., 31, 1106 (1990) [4] Mel’nikov, V. K., Commun. Math. Phys., 120, 451 (1989) [5] Mel’nikov, V. K., Commun. Math. Phys., 126, 201 (1989) [6] Leon, J.; Latifi, A., J. Phys. A, 23, 1385 (1990) [7] Zeng, Y. B.; Ma, W. X.; Lin, R. L., J. Math. Phys., 41, 5453 (2000) [8] Lin, R. L.; Zeng, Y. B.; Ma, W. X., Physica A, 291, 287 (2001) [9] Xiao, T.; Zeng, Y. B., Physica A, 353, 38 (2005) [10] Zhang, D. J.; Chen, D. Y., Chaos Solitons Fractals, 18, 31 (2003) [11] Deng, S. F.; Chen, D. Y.; Zhang, D. J., J. Phys. Soc. Jpn., 79, 2184 (2003) [12] Ma, W. X., Chaos Solitons Fractals, 26, 1453 (2005) [13] Ma, W. X., J. Phys. Soc. Jpn., 72, 3017 (2003) [14] Ma, W. X., J. Math. Phys., 33, 2464 (1992) [15] Ma, W. X., Phys. Lett. A, 179, 179 (1993) [16] David, D.; Levi, D.; Winterminta, P., Stud. Appl. Math., 76, 133 (1987) [17] Chan, W. L.; Li, K. S.; Li, Y. S., J. Math. Phys., 33, 3759 (1992) [18] Fan, E. G.; Zhang, H. Q.; Lin, G., Acta Phys. Sinica, 7, 649 (1998) [19] Hirota, R., Phys. Rev. Lett., 27, 1192 (1971) [20] Freeman, N. C.; Nimmo, J. J.C., Phys. Lett. A, 95, 1 (1983) [21] Deng, S. F., J. Phys. A, 39, 14929 (2006) [22] Deng, S. F., Phys. Lett. A, 362, 198 (2007) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.