Kadomtsev-Petviashvili equation: Nonlinear self-adjointness and conservation laws
Nail H. Ibragimov
TL;DR
This paper applies the method of nonlinear self-adjointness to the Kadomtsev-Petviashvili equation, deriving an infinite set of conservation laws linked to its Lie symmetry algebra.
Contribution
It introduces a novel application of nonlinear self-adjointness to the KP equation, enabling the systematic construction of conservation laws.
Findings
Infinite conservation laws derived for the KP equation
Connection established between conservation laws and Lie symmetries
Method enhances understanding of KP equation's integrability
Abstract
The method of nonlinear self-adjointness is applied to the Kadomtsev-Petviashvili equation. The infinite set of conservation laws associated with the infinite algebra of Lie point symmetry of the KP equation is constructed.
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Taxonomy
TopicsNonlinear Waves and Solitons · Nonlinear Photonic Systems · Advanced Mathematical Physics Problems