On the oscillons in the signum-Gordon model. Issue 1 (2nd January 2017)

• Record Type: Journal Article
• Authors: Świerczyński, Z.
• Is Part Of: Journal of nonlinear mathematical physics. Volume 24:Issue 1(2017)
• Page Start: 20
• Page End: 28
• Publication Date: 2017-01-02
• Subjects: Nonlinear wave equation -- periodic solution -- 35L05 -- 35L70; Nonlinear theories -- Periodicals; Mathematical physics -- Periodicals; 515.252
• DOI: 10.1080/14029251.2016.1274112
• Languages: English
• ISSNs: 1402-9251

Abstract

Abstract : New periodic solutions of signum-Gordon equation are presented. We first find solutions φ 0 ( x, t ) defined for ( x, t ) ∈ ℝ × [0, T ] and satisfying the condition φ 0 ( x, 0) = φ 0 ( x, T ) = 0. Then these solutions are extended to the whole spacetime by using (2.4).