Conservation laws of generalized higher Burgers and linear evolution equations

Details Conservation laws of generalized higher Burgers and linear evolution equations Conservation laws of generalized higher Burgers and linear evolution equations

2002-01-10

arxiv.org/abs/nlin/0201016v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

5 pages

Scientific paper

By the Cole-Hopf transformation, with any linear evolution equation in 1+1 dimensions a generalized Burgers equation is associated. We describe local conservation laws of these equations. It turns out that any generalized Burgers equation has only one conservation law, while a linear evolution equation with constant coefficients has an infinite number of (x,t)-independent conservation laws iff the equation involves only odd order terms and, therefore, is bi-Hamiltonian.

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