6533b7cffe1ef96bd1258d1b
RESEARCH PRODUCT
Improvement of matrix solutions of generalized nonlinear wave equation
V.v. Gudkovsubject
Matrix difference equationMatrix (mathematics)Matrix differential equationGeneralized eigenvectorApplied MathematicsMatrix functionMathematical analysisComputational MechanicsSymmetric matrixSinusoidal plane-wave solutions of the electromagnetic wave equationMass matrixMathematicsdescription
Four classes of nonlinear wave equations are joined in one generalized nonlinear wave equation. A theorem is proved that the whole series of matrix functions satisfy the generalized wave equation. A justification of rotational properties of matrix solutions is given and a mathematical model of the ring vortex around the acute edge is proposed using of matrix solutions.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2005-07-01 | ZAMM |