Two-Phase Solitonlike Solutions of the Cauchy Problem for a Singularly Perturbed Korteweg-De-Vries Equation with Variable Coefficients

作者：Samoilenko V H^*; Samoilenko Yu I

来源：Ukrainian Mathematical Journal, 2014, 65(11): 1681-1697.

DOI：10.1007/s11253-014-0889-8

We describe a set of initial conditions for which the Cauchy problem for a singularly perturbed Korteweg-de-Vries equation with variable coefficients has an asymptotic two-phase solitonlike solution. The notion of the manifold of initial data of the Cauchy problem for which this solution exists is proposed.

• 出版日期2014-4