Geodesic
Approximate double-periodic solutions in $(1+1)$-dimensional $\varphi ^4$-theory
Teoretičeskaâ i matematičeskaâ fizika, Tome 116 (1998) no. 2, pp. 182-192 Cet article a éte moissonné depuis la source Math-Net.Ru

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Double-periodic solutions of the Euler–Lagrange equation for the $(1+1)$-dimensional scalar $\varphi^4$-theory are considered. The nonlinear term is assumed to be small, and the Poincarй method is used to seek asymptotic solutions in the standing-wave form. The principal resonance problem, which arises for zero mass, is resolved if the leading-order term is taken in the form of a Jacobi elliptic function. 
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     title = {Approximate double-periodic solutions in $(1+1)$-dimensional $\varphi ^4$-theory},
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S. Yu. Vernov; O. A. Khrustalev. Approximate double-periodic solutions in $(1+1)$-dimensional $\varphi ^4$-theory. Teoretičeskaâ i matematičeskaâ fizika, Tome 116 (1998) no. 2, pp. 182-192. http://geodesic.mathdoc.fr/item/TMF_1998_116_2_a1/

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