XUSUSIY HOSILALI CHIZIQLI BO‘LMAGAN DIFFERENSIAL TENGLAMALARNING AVTOMODEL VA UMUMLASHGAN AVTOMODEL YECHIMI
Keywords:
self-similar solution, nonlinear PDE, diffusion equation, Burgers equation, KdV equationAbstract
This paper investigates self-similar and generalized self-similar solutions of nonlinear partial differential equations. By using scaling variables, nonlinear PDEs are reduced to ordinary differential equations. The obtained results are useful for modeling nonlinear physical processes.
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