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VOLUME 22 (1975) | ISSUE 7 | PAGE 364
Instability and nonlinear oscillations of solitons
The method of the inverse scattering problem is used to solve exactly the problem of soliton stability in media with dispersion relative to transverse perturbations. Solutions are obtained, which describe the nonlinear stage of the instability and (in the stable case) the nonlinear oscillations of the soliton.