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In fluid dynamics, the Camassa–Holm equation is the integrable, dimensionless and non-linear partial differential equation The equation was introduced by and Darryl 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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  • In fluid dynamics, the Camassa–Holm equation is the integrable, dimensionless and non-linear partial differential equation The equation was introduced by and Darryl 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. (en)
  • En dinámica de fluidos, la ecuación de Camassa-Holm es la ecuación en derivadas parciales integrable, adimensional y no lineal. La ecuación fue introducida por Roberto Camassa y Darryl Holm​ como un modelo bi- hamiltoniano para ondas en . En este contexto el parámetro κ es positivo y las soluciones de son suaves . En el caso especial de que κ sea igual a cero, la ecuación de Camassa-Holm tiene soluciones de «pico de solitón»: solitones con un pico agudo, con una discontinuidad en el pico y la pendiente de declive de la onda. (es)
  • 卡马萨-霍尔姆方程(Camassa Holm equation)是流体力学中的一个非线性偏微分方程 1993年卡马萨和霍尔姆以此偏微分方程模拟浅水波, 其中κ是大于0的参数。 (zh)
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  • Introductions to the subject (en)
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  • In fluid dynamics, the Camassa–Holm equation is the integrable, dimensionless and non-linear partial differential equation The equation was introduced by and Darryl 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. (en)
  • En dinámica de fluidos, la ecuación de Camassa-Holm es la ecuación en derivadas parciales integrable, adimensional y no lineal. La ecuación fue introducida por Roberto Camassa y Darryl Holm​ como un modelo bi- hamiltoniano para ondas en . En este contexto el parámetro κ es positivo y las soluciones de son suaves . En el caso especial de que κ sea igual a cero, la ecuación de Camassa-Holm tiene soluciones de «pico de solitón»: solitones con un pico agudo, con una discontinuidad en el pico y la pendiente de declive de la onda. (es)
  • 卡马萨-霍尔姆方程(Camassa Holm equation)是流体力学中的一个非线性偏微分方程 1993年卡马萨和霍尔姆以此偏微分方程模拟浅水波, 其中κ是大于0的参数。 (zh)
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  • Camassa–Holm equation (en)
  • Ecuación de Camassa-Holm (es)
  • 卡马萨-霍尔姆方程 (zh)
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