Pseudo-Exponential-Type Solutions of Wave Equations Depending on Several Variables
[摘要] 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.
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[关键词] B¨acklund–Darboux transformation;matrix identity;S-node;S-multinode;explicit solution;non-stationary Dirac equation;non-stationary Schr¨odinger equation;Loewner system;pseudo-exponential-type potential;integrable nonlinear equations [时效性]