文章基本信息

标题：Solitones singulares y regulares en la ecuación no lineal de Kadomtsev-Petvishvili
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作者：Erick Flores Romero ; Máximo Agüero Granados
期刊名称：Ciencia Ergo Sum
印刷版ISSN：1405-0269
出版年度：2001
卷号：8
期号：3
语种：Spanish
出版社：Universidad Autónoma del Estado de México
摘要：The Kadomtsev-Petviashvili equation for shallow water waves with negative dispersion (KP) can be reduced to the Boussinesq type (TBq) equation utt uxx + (u2)xx + uxxxx = 0 by means of infinitesimal transformations of Lies method. We use the one-dimensional soliton-solutions of the TBq equation in order to obtain two-dimensional soliton-solutions of the KP equation. We analyze some remarkable properties of these solutions.
其他摘要：The Kadomtsev-Petviashvili equation for shallow water waves with negative dispersion (KP) can be reduced to the Boussinesq type (TBq) equation utt uxx + (u2)xx + uxxxx = 0 by means of infinitesimal transformations of Lies method. We use the one-dimensional soliton-solutions of the TBq equation in order to obtain two-dimensional soliton-solutions of the KP equation. We analyze some remarkable properties of these solutions.
关键词：solitons; non linear waves; singular solitons. solitones; ondas no lineales; solitones singulares.