On solutions of constrained Kadomtsev-Petviashvili equations: Grammians

Journal of Mathematical Physics

Volumn 38, Issue 10, 1997, Pages 5190-5197

  Loris, Ignace ^a   Willox, Ralph ^a  

^a VRIJE UNIVERSITEIT BRUSSEL   (Belgium)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031520778     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.531937     Document Type: Article

References (13)

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4. E. Date, M. Kashiwara, M. Jimbo, and T. Miwa, "Transformation groups for soliton equations," in Proceedings of the RIMS Symposium on Non-Linear Integrable Systems - Classical Theory and Quantum Theory, Kyoto, 1981, edited by M. Jimbo and T. Miwa (World Scientific, Singapore, 1983), pp. 39-119.
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8. Y. Cheng and Y.-J. Zhang, "Bilinear equations for the constrained KP hierarchy," Inverse Probl. 10, L11-L17 (1994).
9. W. Oevel, "Darboux theorems and Wronskian formulas for integrable systems. I. Constrained KP flows," Physica A 195, 533-576 (1993).
10. A. Nakamura, "A bilinear N-soliton formula for the KP equation," J. Phys. Soc. Jpn. 58, 412-422 (1989).
11. W. Oevel and W. Schief, "Darboux theorems and the KP hierarchy," in Applications of Analytic and Geometric Methods to Nonlinear Differential Equations, edited by P. A. Clarkson (Kluwer Academic, Dordrecht, 1993), pp. 193-206.
12. H. Aratyn, E. Nissimov, and S. Pacheva, "Method of squared eigenfunction potential in integrable hierarchies of KP type," solv-int/9701017 preprint (1997).
13. I. Loris and R. Willox, "KP symmetry reductions and a generalized constraint," J. Phys. A (to be published, 1997).