Bilinear form and solutions of the k-constrained Kadomtsev-Petviashvili hierarchy

Inverse Problems

Volumn 13, Issue 2, 1997, Pages 411-420

  Loris, Ignace ^a   Willox, Ralph ^a  

^a VRIJE UNIVERSITEIT BRUSSEL   (Belgium)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0009291187     PISSN: 02665611     EISSN: None     Source Type: Journal    
DOI: 10.1088/0266-5611/13/2/014     Document Type: Article

References (13)

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3. Konopelchenko B and Strampp W 1992 New reductions of the Kadomtsev-Petviashvili and two-dimensional Toda lattice hierarchies via symmetry constraints J. Math. Phys. 33 3676-86
4. Cheng Y 1992 Constraints of the Kadomtsev-Petviashvili hierarchy J. Math. Phys. 33 3774-82
5. Kundu A, Strampp W and Oevel W 1995 Gauge transformations of constrained KP flows: new integrable hierarchies J. Math. Phys. 36 2972-84
6. Hirota R 1980 Direct methods in soliton theory Solitons ed R K Bullough and P J Caudrey (Berlin: Springer) pp 157-76
7. Cheng Y and Zhang Y-j 1994 Bilinear equations for the constrained KP hierarchy Inverse Problems 10 L11-17
8. Zhang Y-j and Chen Y 1994 The Wronskian structure for solutions of the k constrained KP hierarchy J. Phys. A: Math. Gen. 27 4581-8
9. Gilson C, Lambert F, Nimmo J and Willox R 1996 On the combinatorics of the Hirota D-operator Proc. R. Soc. A 452 223-34
10. Freeman N C and Nimmo J J C 1983 Soliton solutions of the Kortweg de Vries and the Kadomtsev-Petviashvili equations: the Wronskian technique Proc. R. Soc. A 389 319-29
11. Nimmo J J C 1989 Wronskian determinants, the KP hierarchy and supersymmetric polynomials J. Phys. A: Math. Gen. 22 3213-21
12. Hirota R 1986 Solutions of the classical Boussinesq equation and the spherical Boussinesq equation: the Wronskian technique J. Phys. Soc. Japan 55 2137-50
13. Loris I and Willox R 1996 Soliton solution of Wronkian form to the nonlocal Boussinesq equation J. Phys. Soc. Japan 65 383-8