Some types of solutions and generalized binary Darboux transformation for the mKP equation with self-consistent sources

Journal of Mathematical Analysis and Applications

Volumn 366, Issue 2, 2010, Pages 646-662

  Tian, Shou fu ^a   Wang, Zhen ^a   Zhang, Hong qing ^a  

^a DALIAN UNIVERSITY OF TECHNOLOGY   (China)

Author keywords

Breather type solutions; Darboux transformation; Exponential solutions; mKP equation with self consistent sources (mKPESCSs); Rational solutions; Soliton solutions

Indexed keywords

EID: 76749094607     PISSN: 0022247X     EISSN: 10960813     Source Type: Journal    
DOI: 10.1016/j.jmaa.2010.01.021     Document Type: Article

References (36)

1. Darboux G. Comput. Rend. 94 (1882) 1456-1459
2. Matveev V.B., and Salle M.A. Darboux Transformations and Solitons (1991), Springer-Verlag, Berlin
3. Nimmo J.J.C. J. Phys. A 30 (1997) 1-12
4. Nimmo J.J.C. Darboux Transformations from Reductions of the KP Hierarchy (1995), World Scientific, Singapore
5. Nimmo J.J.C. Phys. Lett. A 168 (1992) 113-119
6. Nimmo J.J.C. Chaos Solitons Fractals 11 (2000) 115-120
7. Doktorov E.V., and Vlasov R.A. Optim. Acta 30 (1983) 223
8. Kaup D.J. Phys. Rev. Lett. 59 (1987) 2063
9. Mel'nikov V.K. Phys. Lett. A 133 (1988) 493
10. Mel'nikov V.K. J. Math. Phys. 31 (1990) 1106
11. Leon J., and Latifi A. J. Phys. A 23 (1990) 1385-1403
12. Leon J. Phys. Lett. A 144 (1990) 44-52
13. Claude C., Latifi A., and Leon J. J. Math. Phys. 32 (1991) 3321
14. Doktorov E.V., and Shchesnovich V.S. Phys. Lett. A 207 (1995) 153
15. Shchesnovich V.S., and Doktorov E.V. Phys. Lett. A 213 (1996) 23
16. Mel'nikov V.K. Comm. Math. Phys. 137 (1991) 359-381
17. Zeng Y., Ma W.X., and Lin R. J. Math. Phys. 41 (2000) 5453-5489
18. Xiao T., and Zeng Y.B. J. Phys. A 37 (2004) 7143-7162
19. Liu X., and Zeng Y.B. J. Phys. A 38 (2005) 8951-8965
20. Tian S.F., Zhang T.T., and Zhang H.Q. Phys. Scr. 80 (2009) 065013
21. Matsuno Y. J. Phys. A 24 (1991) 273-277
22. Yang Z., Xiao T., and Zeng Y. J. Phys. A 39 (2006) 8427-8437
23. Mel'nikov V.K. Comm. Math. Phys. 112 (1987) 639-652
24. Mel'nikov V.K. Comm. Math. Phys. 126 (1989) 201-215
25. Hu X.B., and Wang H.Y. Inverse Problems 23 (2007) 1433-1444
26. Manas M.J. J. Phys. A 29 (1996) 7721
27. Zeng Y.B., Shao Y., and Xue W.J. J. Phys. A 36 (2003) 5035
28. Xiao T., and Zeng Y.B. J. Phys. A 37 (2004) 7143
29. Date E., Jimbo M., Kashiwara M., and Miwa T. In: Jimbo M., and Miwa T. (Eds). Nonlinear Integrable Systems-Classical Theory and Quantum Theory (1983), World Scientific, Singapore
30. Ohta Y., Satsuma J., Takahashi D., and Tokihiro T. Progr. Theoret. Phys. Suppl. 94 (1988) 210
31. Cheng Y. Comm. Math. Phys. 171 (1995) 661-682
32. Deng S.F. Phys. A 382 (2007) 487-493
33. Sidorenko J., and Strampp W. Inverse Problems 7 (1991) 37-43
34. Oevel W., and Strampp W. Comm. Math. Phys. 157 (1993) 51-81
35. Dickey L.A. Lett. Math. Phys. 34 (1995) 379-384
36. Cheng Y. J. Math. Phys. 33 (1992) 3774