Conservation laws and nonexistence of local Hamiltonian structures for generalized Infeld—Rowlands equation

For a certain natural generalization of the Infeld—Rowlands equation we prove nonexistence of nontrivial local Hamiltonian structures and nontrivial local symplectic structures of any order, as well as of nontrivial local Noether and nontrivial local inverse Noether operators of any order, and exhau...

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Bibliographic Details
Published in:Reports on mathematical physics 2024-06, Vol.93 (3), p.287-300
Main Author: Vašíček, Jakub
Format: Article
Language:English
Subjects:
conservation laws
generalized Infeld–Rowlands equation
Hamiltonian structure
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Summary:For a certain natural generalization of the Infeld—Rowlands equation we prove nonexistence of nontrivial local Hamiltonian structures and nontrivial local symplectic structures of any order, as well as of nontrivial local Noether and nontrivial local inverse Noether operators of any order, and exhaustively characterize all cases when the equation in question admits nontrivial local conservation laws of any order; the method of establishing the above nonexistence results can be readily applied to many other PDEs.
ISSN:0034-4877
1879-0674
DOI:10.1016/S0034-4877(24)00038-7