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Self-adjointness and conservation laws of a generalized Burgers equation. (English) Zbl 1216.35115
Summary: A (2+1)-dimensional generalized Burgers equation is considered. Having written this equation as a system of two dependent variables, we show that it is quasi self-adjoint and find a nontrivial additional conservation law.
MSC:
35Q53KdV-like (Korteweg-de Vries) equations
45K05Integro-partial differential equations
70H33Symmetries and conservation laws, reverse symmetries, invariant manifolds, etc.
37K05Hamiltonian structures, symmetries, variational principles, conservation laws
37K10Completely integrable systems, integrability tests, bi-Hamiltonian structures, hierarchies