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Nonlinear self-adjointness and conservation laws
Conservation laws Nonlinear self-adjointness Diffusion Kompaneets equation KP equation
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2011/9/20
Abstract: The general concept of nonlinear self-adjointness of differential equations is introduced. It includes the linear self-adjointness as a particular case. Moreover, it embraces the strict self...
Conservation laws, integrability and transport in one-dimensional quantum systems
Conservation laws one-dimensional quantum systems
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2010/11/18
In integrable one-dimensional quantum systems an infinite set of local conserved quantities exists which can prevent a current from decaying completely. For cases like the spin current in the XXZ mode...
Conservation laws and normal forms of evolution equations
Conservation laws normal forms evolution equations
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2010/4/6
We study local conservation laws for evolution equations in two independent variables. In particular, we present normal forms for the equations admitting one or two low-order conservation laws. Exampl...