On the high energy solitary waves solutions for a generalized KP equation  in bounded domain

Jebari Rochdi

doi:10.37863/umzh.v74i3.6253

Jebari Rochdi Dep. Math., College Sci. and Humanities-Al Quwayiyah, Shaqra Univ., Riyadh, Kingdom of Saudi Arabia; Dep. Math., Faculte Sci. Tunis, Univ. Tunis El-Manar, Tunisie

DOI: https://doi.org/10.37863/umzh.v74i3.6253

Анотація

УДК 517.9

Розв'язки у вигляді солітонових хвиль для узагальненого рівняння кадомцева–петвіашвілі в обмеженій області

Розглядається, головним чином, існування нескінченної кількості розв'язків у вигляді солітонових хвиль для узагальненого рівняння Кадомцева–Петвіашвілі в обмеженій області.
Мета цієї роботи — заповнити пробіли в результатах, які вказані у попередній роботі (J. Xu, Z. Wei, Y. Ding, Stationary solutions for a generalized Kadomtsev–Petviashvili equation in bounded domain, Electron. J. Qual. Theory Differ. Equ., 2012, No. 68, 1–18 (2012)).
При більш слабких обмеженнях на нелінійність у рівнянні Кадомцева–Петвіашвілі за допомогою варіанта теореми про фонтан отримано новий результат щодо існування нескінченного числа розв'язків у вигляді солітонових хвиль.

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