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- W2009406500 abstract "The invariant set and solutions of the two-dimensional reaction–diffusion equation with source term u t = A ( u ) u x x + B ( u ) u y y + C ( u ) u x 2 + D ( u ) u y 2 + Q ( u ) , is discussed. It is shown that there exist a class of solutions to the equation which belong to the invariant set E 0 = { u : u x = v x F ( u ) , u y = v y F ( u ) } , where v is some smooth function of x and y and F is smooth function of u to be determined. The approach is also developed to deal with the N -dimensional reaction–diffusion equations with source term." @default.
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- W2009406500 date "2006-06-01" @default.
- W2009406500 modified "2023-09-24" @default.
- W2009406500 title "Invariant sets and solutions to higher-dimensional reaction–diffusion equations with source term" @default.
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- W2009406500 doi "https://doi.org/10.1016/j.physleta.2006.02.022" @default.
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