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math.CA2013★ 2 cited
Applications of tangent transformations to the linearization problem of fourth-order ordinary differential equations
S. Suksern, S. V. Meleshko
Linearization problem of ordinary differential equations by a new set of tangent transformations is considered in the paper. This set of transformations allows one to extend the se…
math.CA2010
Solutions for one class of nonlinear fourth-order partial differential equations
Supaporn Suksern
Some solutions for one class of nonlinear fourth-order partial differential equations \[u_{tt} = ({κu + γu^2})_{xx} + νuu_{xxxx} + μu_{xxtt} + αu_x u_{xxx} + βu_{xx}^2 \] where $α,…
math.CA2007
Linearization of fourth-order ordinary differential equations by point transformations
Nail H. Ibragimov, Sergey V. Meleshko, Supaporn Suksern
We present here the solution of the problem on linearization of fourth-order equations by means of point transformations. We show that all fourth-order equations that are lineariza…