Search results for "matrix solution"

showing 2 items of 2 documents

Mathematical models on the way from superstring to photon

2002

QuarkPhysicsParticle physicsPhotonMathematical modelApplied MathematicsGeneral EngineeringSuperstring theoryGeneral MedicineMatrix solutionWave equationComputational MathematicsNeutrinoGeneral Economics Econometrics and FinanceAnalysisHarmonic oscillatorNonlinear Analysis: Real World Applications
researchProduct

Modelling of rotations by using matrix solutions of nonlinear wave equations

2007

A family of matrix solutions of nonlinear wave equations is extended and its application to modelling is given. It is shown that a similarity transformation, induced by the matrix solution, is equivalent to the rotation. Matrix solutions are used for modelling helical motions and vortex rings, simultaneous rotations and particles collision, mapping contraction and pulsating spheres. Geometrical interpretation of the doubling of rotation angle in each step of sequential mapping contraction is given. First Published Online: 14 Oct 2010

mapping contractionanti‐commuting matricesMathematical analysisMatrix solutionparticles collisionCollisionrotationMatrix similarityVortex ringClassical mechanicsnonlinear wave equationNonlinear wave equationvortex ringModeling and SimulationQA1-939SPHERESmatrix solutionContraction (operator theory)AnalysisMathematicsMathematicsMathematical Modelling and Analysis
researchProduct