Symmetries and exact solutions of KP equation with an arbitrary nonlinear term
محل انتشار: فصلنامه فیزیک تئوری و کاربردی، دوره: 8، شماره: 4
سال انتشار: 1393
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 278
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شناسه ملی سند علمی:
JR_JTAP-8-4_004
تاریخ نمایه سازی: 27 مرداد 1397
چکیده مقاله:
The generalized KP (GKP) equations with anarbitrary nonlinear term model and characterize manynonlinear physical phenomena. The symmetries of GKPequation with an arbitrary nonlinear term are obtained. Thecondition that must satisfy for existence the symmetriesgroup of GKP is derived and also the obtained symmetriesare classified according to different forms of the nonlinearterm. The resulting similarity reductions are studied byperforming the bifurcation and the phase portrait of GKPand also the corresponding solitary wave solutions of GKPequation are constructed.
کلیدواژه ها:
Generalized KP equation Lie point symmetries Bifurcation Solitary solutions
نویسندگان
S.A Elwakil
Faculty of Science, Theoretical Physics Group, Mansoura University, Mansoura ۳۵۵۱۶, Egypt
A.M El-Hanbaly
Faculty of Science, Theoretical Physics Group, Mansoura University, Mansoura ۳۵۵۱۶, Egypt
E.K El-Shewy
Faculty of Science, Theoretical Physics Group, Mansoura University, Mansoura ۳۵۵۱۶, Egypt
I.S El-Kamash
Faculty of Science, Theoretical Physics Group, Mansoura University, Mansoura ۳۵۵۱۶, Egypt