Articles liés à Camassa–Holm Equation: Fluid dynamics, Integrable...

Camassa–Holm Equation: Fluid dynamics, Integrable system, Dimensionless quantity, List of nonlinear partial differential equations, Hamiltonian mechanics, Solitary wave - Couverture souple

 
9786132693426: Camassa–Holm Equation: Fluid dynamics, Integrable system, Dimensionless quantity, List of nonlinear partial differential equations, Hamiltonian mechanics, Solitary wave

Synopsis

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In fluid dynamics, the Camassa–Holm equation is the integrable, dimensionless and non-linear partial differential equation. The equation was introduced by Camassa and Holm as a bi-Hamiltonian model for waves in shallow water, and in this context the parameter κ is positive and the solitary wave solutions are smooth solitons. In the special case that κ is equal to zero, the Camassa–Holm equation has peakon solutions: solitons with a sharp peak, so with a discontinuity at the peak in the wave slope.

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