Weakly nonlinear waves in water of variable depth: Variable-coefficient Korteweg–de Vries equation

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Weakly nonlinear waves in water of variable depth: Variable-coefficient Korteweg-de Vries equation

In the present work, utilizing the two-dimensional equations of an incompressible inviscid fluid and the reductive perturbation method, we studied the propagation of weakly nonlinear waves in water of variable depth. For the case of slowly varying depth, the evolution equation is obtained as a variable-coefficient Korteweg–de Vries (KdV) equation. A progressive wave type of solution, which sati...

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ژورنال

عنوان ژورنال: Computers & Mathematics with Applications

سال: 2010

ISSN: 0898-1221

DOI: 10.1016/j.camwa.2010.07.005