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Krichever, I. M.

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).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0496.35073

Cited in 10 Documents

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

Keywords:

d’Alembert’s formula; equations of the principal chiral field; Sine- Gordon equation; nonlinear superposition; solutions travelling along different characteristics
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