Solitons in the Camassa-Holm Shallow Water Equation
Fred Cooper, Harvey Shepard
Abstract
We study the class of shallow water equations of Camassa and Holm derived from the Lagrangian: L= ∫ ( 12 (φxxx-φx )φt - 1 2 (φx)3 - 1 2φx(φxx)2 - 1 2 κφx2 ) dx,
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