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

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