Journal of Physical Studies 4(2), 119–123 (2000)
DOI: https://doi.org/10.30970/jps.04.119 CALCULATION OF THREE-KINK STATES IN ϕ4-THEORY WITH DAMPING |
M. A. Knyazev
Institute of Applied Physics, National Academy of Sciences
of Belarus
16, Academicheskaya Street, Minsk 220072, Belarus
Some new solutions for the equation of motion in $ϕ^4$-theory with damping are constructed. These solutions describe the field configurations corresponding to the coupled states of three kinks and/or antikinks. To obtain them a new direct method for nonlinear partial differential equations which generalises the Hirota method for the a degeneracy case is applied.
PACS numbers: 02.30.Jr, 03.40.Kf