The coupled nonlinear Klein-Gordon equations arc analyzed for their integrability properties in a systematic manner through Painleve test. From the Painleve test, by truncating the Laurent series at the constant level term, the Hirota bilinear form is identified, from which one-soliton solutions are derived. Then, the results are generalized to the two, three and N-coupled Klein-Gordon equations. (C) 2004 Elsevier Ltd. All rights reserved.
- ORDINARY DIFFERENTIAL-EQUATIONS
- LINEAR EVOLUTION-EQUATIONS