caa a22 4500 47705966X CHVBK 20180405111356.0 cr unu---uuuuu 170330e19961001xx s 000 0 eng 10.1007/BF02437146 doi (NATIONALLICENCE)springer-10.1007/BF02437146 Shikin G. aut Exact plane symmetric solutions of sin-Gordon equations with inherent gravitational fields taken into account [Elektronische Daten] [G. Shikin] We obtain exact self-consistent plane symmetric solutions to systems of Einstein equations and nonlinear scalar field equations of sin-Gordon type. We write out, in explicit from, two specific solutions corresponding to specific choices of the nonlinearity parameter λ. We show that for each value of λ, there exist solutions of soliton and antisoliton type with topological charge Q=±1. We establish that the basic difference between the solutions we obtain and solutions of the sin-Gordon equation in flat space—time is that when we take internal gravitational fields into account, each value of λ corresponds to a specific function ϕλ(x). Plenum Publishing Corporation, 1997 Russian Physics Journal Kluwer Academic Publishers-Consultants Bureau 39/10(1996-10-01), 977-983 1064-8887 39:10<977 1996 39 11182 https://doi.org/10.1007/BF02437146 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02437146 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Shikin G. aut NATIONALLICENCE 773 0- Russian Physics Journal Kluwer Academic Publishers-Consultants Bureau 39/10(1996-10-01), 977-983 1064-8887 39:10<977 1996 39 11182 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer