Nonlinear Sciences – Exactly Solvable and Integrable Systems
Scientific paper
2007-01-16
Nonlinear Sciences
Exactly Solvable and Integrable Systems
31 pages
Scientific paper
10.1088/1751-8113/40/23/010
In this paper we develop a dressing method for constructing and solving some classes of matrix quasi-linear Partial Differential Equations (PDEs) in arbitrary dimensions. This method is based on a homogeneous integral equation with a nontrivial kernel, which allows one to reduce the nonlinear PDEs to systems of non-differential (algebraic or transcendental) equations for the unknown fields. In the simplest examples, the above dressing scheme captures matrix equations integrated by the characteristics method and nonlinear PDEs associated with matrix Hopf-Cole transformations.
Santini Paolo Maria
Zenchuk Alexander I.
No associations
LandOfFree
Dressing method based on homogeneous Fredholm equation: quasilinear PDEs in multidimensions 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 Dressing method based on homogeneous Fredholm equation: quasilinear PDEs in multidimensions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Dressing method based on homogeneous Fredholm equation: quasilinear PDEs in multidimensions will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-189146