On the constrained B-type Kadomtsev-Petviashvili hierarchy: Hirota bilinear equations and Virasoro symmetry

Journal Article · Tue Mar 15 00:00:00 EDT 2011 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.3559081· OSTI ID:21501290

Shen, Hsin-Fu ^[1]; Tu, Ming-Hsien ^[2]

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1. Department of Mechanical Engineering, WuFeng University, Chiayi 621, Taiwan (China)
2. Department of Physics, National Chung Cheng University, Chiayi 621, Taiwan (China)

We derive the bilinear equations of the constrained BKP hierarchy from the calculus of pseudodifferential operators. The full hierarchy equations can be expressed in Hirota's bilinear form characterized by the functions {rho}, {sigma}, and {tau}. Besides, we also give a modification of the original Orlov-Schulman additional symmetry to preserve the constrained form of the Lax operator for this hierarchy. The vector fields associated with the modified additional symmetry turn out to satisfy a truncated centerless Virasoro algebra.

• OSTI ID: 21501290
• Journal Information: Journal of Mathematical Physics, Vol. 52, Issue 3; Other Information: DOI: 10.1063/1.3559081; (c) 2011 American Institute of Physics; ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICAL METHODS AND COMPUTING
ALGEBRA
FUNCTIONS
LAX THEOREM
NONLINEAR PROBLEMS
SYMMETRY
VECTOR FIELDS
WAVE EQUATIONS
DIFFERENTIAL EQUATIONS
EQUATIONS
MATHEMATICS
PARTIAL DIFFERENTIAL EQUATIONS