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A factorization procedure for solving the Camassa–Holm equation

A Parker1

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A factorization technique is presented for solving the Camassa–Holm equation in an efficient manner. The procedure, which reformulates the extant bilinear transform method, is used to construct analytic multisoliton solutions of the equation.


PACS

02.60.Cb Numerical simulation; solution of equations

05.45.Yv Solitons

02.60.Lj Ordinary and partial differential equations; boundary value problems

02.10.Ud Linear algebra

MSC

35A08 Fundamental solutions

15A63 Quadratic and bilinear forms, inner products [See mainly 11Exx]

15A04 Linear transformations, semilinear transformations

35Q51 Solitons (See also 37K40)

Subjects

Mathematical physics

Computational physics

Statistical physics and nonlinear systems

Dates

Issue 2 (April 2006)

Received 12 October 2005

Published 22 March 2006



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