Pseudo-Exponential-Type Solutions of Wave Equations Depending on Several Variables

Abstract

Using matrix identities, we construct explicit pseudo-exponential-type solutions of linear Dirac, Loewner and Schrödinger equations depending on two variables and of nonlinear wave equations depending on three variables.

References in corpus (3)

• Binary Darboux Transformations in Bidifferential Calculus and Integrable Reductions of Vacuum Einstein Equations
• Dispersionless BKP Hierarchy and Quadrant Löwner Equation
• Weyl theory and explicit solutions of direct and inverse problems for a Dirac system with rectangular matrix potential

Cited by in corpus (2)

• Dynamical canonical systems and their explicit solutions
• Dynamics of electrons and explicit solutions of Dirac-Weyl systems