An analogue of d’Alembert’s formula for the equations of the principal chiral field and for the Sine-Gordon equation. (English. Russian original) Zbl 0496.35073
Sov. Math., Dokl. 22, 79-84 (1980); translation from Dokl. Akad. Nauk SSSR 253, 288-292 (1980).
MSC:
35Q99 | Partial differential equations of mathematical physics and other areas of application |
35R30 | Inverse problems for PDEs |
30E25 | Boundary value problems in the complex plane |
35A30 | Geometric theory, characteristics, transformations in context of PDEs |
35G20 | Nonlinear higher-order PDEs |