Grigorov, A.; Martinov, N.; Ouroushev, D.; Georgiev, Vl. A method for generating exact solutions of the nonlinear Klein-Gordon equation. (English) Zbl 0991.35529 Can. J. Phys. 70, No. 6, 467-469 (1992). Summary: We propose a simple method for generating the exact solutions of the nonlinear Klein-Gordon equation. The solutions obtained depend on two arbitrary functions and are in the form of running waves. An application of one of the solutions for the \((2+1)\)-dimensional sine-Gordon equation is proposed. It concerns the selective properties of a two-dimensional semi-infinite Josephson junction with regard to an external electromagnetic field in the form of running waves with a phase velocity equal to the Swihart velocity. A method for measuring the Swihart velocity is presented. MSC: 35Q40 PDEs in connection with quantum mechanics 35L70 Second-order nonlinear hyperbolic equations 81Q05 Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics PDFBibTeX XMLCite \textit{A. Grigorov} et al., Can. J. Phys. 70, No. 6, 467--469 (1992; Zbl 0991.35529) Full Text: DOI