The Role of the Korteweg-de Vries Hierarchy in the N-Soliton Dynamics of the Shallow Water Wave Equation

Nonlinear Sciences – Pattern Formation and Solitons

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

Minor corrections, new discussion added, version to appear in J. Phys. Soc. Japan

Scientific paper

We apply a multiple-time version of the reductive perturbation method to study long waves as governed by the shallow water wave model equation. As a consequence of the requirement of a secularity-free perturbation theory, we show that the well known N-soliton dynamics of the shallow water wave equation, in the particular case of $\alpha=2 \beta$, can be reduced to the N-soliton solution that satisfies simultaneously all equations of the Korteweg-de Vries hierarchy.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

The Role of the Korteweg-de Vries Hierarchy in the N-Soliton Dynamics of the Shallow Water Wave Equation 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 The Role of the Korteweg-de Vries Hierarchy in the N-Soliton Dynamics of the Shallow Water Wave Equation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Role of the Korteweg-de Vries Hierarchy in the N-Soliton Dynamics of the Shallow Water Wave Equation will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-382665

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.