Generalized Nonlinear Equation and Solutions for Fluid Contour Deformations

Details Generalized Nonlinear Equation and Solutions for Fluid Contour Deformations Generalized Nonlinear Equation and Solutions for Fluid Contour Deformations

2002-01-25

arxiv.org/abs/math-ph/0201056v1

Physics

Mathematical Physics

Scientific paper

We generalize the nonlinear one-dimensional equation for a fluid layer surface to any geometry and we introduce a new infinite order differential equation for its traveling solitary waves solutions. This equation can be written as a finite-difference expression, with a general solution that is a power series expansion with coefficients satisfying a nonlinear recursion relation. In the limit of long and shallow water, we recover the Korteweg-de Vries equation together with its single-soliton solution.

Affiliated with

Also associated with

No associations

Rating

Generalized Nonlinear Equation and Solutions for Fluid Contour Deformations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Generalized Nonlinear Equation and Solutions for Fluid Contour Deformations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Generalized Nonlinear Equation and Solutions for Fluid Contour Deformations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-362280