Two-soliton solutions of the Kadomtsevpetviashvili equation

Several findings on soliton solutions generated by the Kadomtsev-Petviashvili (KP) equation were discussed in this paper. This equation is a two dimensional of the Korteweg-de Vries (KdV) equation. Traditional group-theoretical approach can generate analytic solution of solitons because KP equation...

وصف كامل

محفوظ في:
التفاصيل البيبلوغرافية
المؤلفون الرئيسيون: Tiong, Wei King, Ong, Chee Tiong, Isa, Mukheta
التنسيق: مقال
اللغة:English
منشور في: Penerbit UTM Press 2006
الموضوعات:
الوصول للمادة أونلاين:http://eprints.utm.my/id/eprint/5424/1/JTJUN44C2006_twoSolitonsolutions.pdf
http://eprints.utm.my/id/eprint/5424/
http://www.penerbit.utm.my/onlinejournal/44/C/JTJUN44C3.pdf
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الوصف
الملخص:Several findings on soliton solutions generated by the Kadomtsev-Petviashvili (KP) equation were discussed in this paper. This equation is a two dimensional of the Korteweg-de Vries (KdV) equation. Traditional group-theoretical approach can generate analytic solution of solitons because KP equation has infinitely many conservation laws. By using Hirota Bilinear method, we show via computer simulation how two solitons solution of KP equation produces triad, quadruplet and a non-resonance structures in soliton interactions