Asymptotic Multiphase Solitonlike Solutions of the Cauchy Problem for a Singularly Perturbed Korteweg–de-Vries Equation with Variable Coefficients

• Дата: 2014
• Автори: Samoilenko, V. G., Samoilenko, Yu. I., Самойленко, В. Г., Самойленко, Юл. І.
• Формат: Стаття
• Мова: Українська; Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2014
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/2252
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We describe the set of initial conditions under which the Cauchy problem for a singularly perturbed Korteweg–de-Vries equation with variable coefficients has an asymptotic multiphase solitonlike solution. The notion of manifold of initial values for which the above-mentioned solution exists is propo...