Darboux integrability for diagonal systems of hydrodynamic type
نویسندگان
چکیده
Abstract We prove that (1) diagonal systems of hydrodynamic type are Darboux integrable if and only the corresponding for commuting flows integrable, (2) Laplace transformation sequences terminate, (3) necessarily semihamiltonian. give geometric interpretation integrability such in terms congruences lines solution orbits with respect to symmetry subalgebras, discuss known new examples.
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ژورنال
عنوان ژورنال: Nonlinearity
سال: 2023
ISSN: ['0951-7715', '1361-6544']
DOI: https://doi.org/10.1088/1361-6544/ace1cd