The Bogomolny Decomposition for Systems of Two Generalized Nonlinear Partial Differential Equations of the Second Order
- https://doi.org/10.1142/S1402925109000030How to use a DOI?
- Nonlinear partial differential equations, variational methods, Bogomolny decomposition
Using a concept of strong necessary conditions we derive the Bogomolny decomposition for systems of two generalized elliptic and parabolic nonlinear partial differential equations (NPDE) of the second order. The generalization means that the equation coefficients depend on the field variables. According to the Cinquini-Cibrario criteria [18–20] the first type is characterized to be an elliptic, whereas the second one is a parabolic system. As a result we derive conditions for existence of the Bogomolny relationships.
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Cite this article
TY - JOUR AU - Ł. Stȩpień AU - D. Sokalska AU - K. Sokalski PY - 2021 DA - 2021/01 TI - The Bogomolny Decomposition for Systems of Two Generalized Nonlinear Partial Differential Equations of the Second Order JO - Journal of Nonlinear Mathematical Physics SP - 25 EP - 34 VL - 16 IS - 1 SN - 1776-0852 UR - https://doi.org/10.1142/S1402925109000030 DO - https://doi.org/10.1142/S1402925109000030 ID - Stȩpień2021 ER -