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The multisoliton solutions for the nonisospectral mKP equation. (English) Zbl 1197.81118

Summary: The bilinear form for the nonisospectral mKP equation is obtained and some exact soliton solutions are derived through Hirota method and Wronskian technique. We also derive the bilinear Bäcklund transformations for the nonisospectral mKP equation and find solutions with the help of the obtained bilinear Bäcklund transformations.

MSC:

81Q05 Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics
35Q53 KdV equations (Korteweg-de Vries equations)
35Q51 Soliton equations
37K40 Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems
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References:

[1] Hirota, R., Phys. Rev. Lett., 27, 1192 (1971) · Zbl 1168.35423
[2] Hirota, R., Prog. Theor. Phys., 52, 1498 (1974) · Zbl 1168.37322
[3] Satsuma, J., J. Phys. Soc. Jpn., 40, 359 (1979)
[4] Freeman, N. C.; Nimmo, J. J.C., Phys. Lett. A, 95, 1 (1983)
[5] Hirota, R., Direct Method in Soliton Theory (1992), Iwanami: Iwanami Tokyo
[6] Hirota, R.; Satsuma, J., Phys. Lett. A, 85, 407 (1981)
[7] Nimmo, J. J.C.; Freeman, N. C., J. Phys. A, 17, 1415 (1984) · Zbl 0552.35071
[8] David, D.; Levi, D.; Winternitz, P., Stud. Appl. Math., 76, 133 (1987) · Zbl 0678.35008
[9] Hirota, R.; Satsuma, J., J. Phys. Soc. Jpn., 41, 2141 (1976)
[10] Chan, W. L.; Li, K. S., J. Math. Phys., 30, 2521 (1989) · Zbl 0698.35141
[11] Fan, E. G.; Zhang, H. Q.; Lin, G., Acta Phys. Sinica, 7, 649 (1998)
[12] Deng, S. F.; Qin, Z. Y., Phys. Lett. A, 357, 467 (2006) · Zbl 1236.37043
[13] Deng, S. F.; Chen, D. Y.; Zhang, D. J., J. Phys. Soc. Jpn., 72, 2184 (2003) · Zbl 1056.35139
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