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A Dressing Method in Mathematical Physics (Hardcover, 2007 ed.)
Loot Price: R3,027
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A Dressing Method in Mathematical Physics (Hardcover, 2007 ed.)
Series: Mathematical Physics Studies, 28
Expected to ship within 10 - 15 working days
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The monograph is devoted to the systematic presentation of the so
called dressing method for solving differential equations (both
linear and nonlinear) of mathematical physics. The essence of the
dressing method consists in a generation of new non-trivial
solutions of a given equation from (maybe trivial) solution of the
same or related equation. The Moutard and Darboux transformations
discovered in XIX century as applied to linear equations, the
Backlund transformation in differential geometry of surfaces, the
factorization method, the Riemann-Hilbert problem in the form
proposed by Shabat and Zakharov for soliton equations and its
extension in terms of the d-bar formalism comprise the main objects
of the book. Throughout the text, a generally sufficient linear
experience of readers is exploited, with a special attention to the
algebraic aspects of the main mathematical constructions and to
practical rules of obtaining new solutions.
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