Rational soliton on the plane wave background for the (1+2) $|ϕ|^4$ -model with negative coupling

preprint2011arXivOpen access

We show that $(1+2)$ nonlinear Klein-Gordon equation with negative coupling admits an exact solution which appears to be the linear superposition of the plane wave and the nonsingular rational soliton.

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Rational soliton on the plane wave background for the (1+2) $|ϕ|^4$ -model with negative coupling

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Rational soliton on the plane wave background for the (1+2) ∣ϕ∣4|ϕ|^4∣ϕ∣4-model with negative coupling

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Rational soliton on the plane wave background for the (1+2) $|ϕ|^4$ -model with negative coupling