1. Science
  2. Publications
  3. Information Processing Systems
  4. 2(69)'2008
  5. Nonlinear equalizations in private derivative, having an operator structure of isospectral deformation

Nonlinear equalizations in private derivative, having an operator structure of isospectral deformation

T.V. Redkina, A.I. Karyuk, G.A. Lushnikova
Annotations languages:

The construction of non-linear equations, which have as the operator of diffusement L : Dirac's operator, the first-rate operator with matrix factors 2x2 and 3x3 is demonstrated in the article. The new system of non-linear in private derivatives, which has an equation on its own value with Dirac's operator, is got 1+1 and 2+1-dimensional equations, which possess common task on their own values and different operators A are got. Non-linear equation in private derivatives with the third-rate diffusement operator is found. For the equations given in the article the precise solutions of special kind are found.
Keywords: non-linear equations in private derivatives, soliton equations