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Memoirs of the American Mathematical Society
1996; 88 pp; softcover
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Order Code: MEMO/118/563
Using commutation methods, the authors present a general formalism to construct Korteweg-de Vries (KdV) and modified Korteweg-de Vries (mKdV) \(N\)-soliton solutions relative to arbitrary (m)KdV background solutions. As an illustration of these techniques, the authors combine them with algebro-geometric methods and Hirota's \(\tau\)-function approach to systematically derive the (m)KdV \(N\)-soliton solutions on quasi-periodic finite-gap backgrounds.
Graduate students, research mathematicians, and theoretical physicists interested in soliton mathematics.
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