Volume 9, Issue 1, February 2002, Pages 11 - 20
The Matrix KadomtsevPetviashvili Equation as a Source of Integrable Nonlinear Equations
Received 28 May 2001, Revised 1 August 2001, Accepted 2 August 2001, Available Online 1 February 2002.
- https://doi.org/10.2991/jnmp.2002.9.1.2How to use a DOI?
- A new integrable class of DaveyStewartson type systems of nonlinear partial diffrential equations (NPDEs) in 2+1 dimensions is derived from the matrix Kadomtsev Petviashvili equation by means of an asymptotically exact nonlinear reduction method based on Fourier expansion and spatio-temporal rescaling. The integrability by the inverse scattering method is explicitly demonstrated, by applying the reduction tecnique also to the Lax pair of the starting matrix equation and thereby obtaining the Lax pair for the new class of systems of equations. The characteristics of the redution method suggest that the new systems are likely to be of applicative relevance. A reduction to a system of two interacting complex fields is briefly described.
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Cite this article
TY - JOUR AU - Attilio Maccari PY - 2002 DA - 2002/02 TI - The Matrix KadomtsevPetviashvili Equation as a Source of Integrable Nonlinear Equations JO - Journal of Nonlinear Mathematical Physics SP - 11 EP - 20 VL - 9 IS - 1 SN - 1776-0852 UR - https://doi.org/10.2991/jnmp.2002.9.1.2 DO - https://doi.org/10.2991/jnmp.2002.9.1.2 ID - Maccari2002 ER -