Analysis of generalized quasilinear hyperbolic and Boussinesq equations from the point of view of potential symmetry

Using the Lie classical method, the potential symmetry of the generalized hyperbolic quasilinear and Boussinesq equations is investigated. To find these symmetries in specific cases, we study various scientific examples that admit these symmetries. In addition, using this method, the potential symmetries of the conservative forms of the Boussinesq equation is determined.

Keywords:

Generalized quasilinear hyperbolic equation , Boussinesq equation , Potential symmetry , Potential equations , Conservative form

Authors

Mehdi Jafari

Department of Mathematics, Payame Noor University, PO BOX ۱۹۳۹۵-۳۶۹۷, Tehran, Iran.

Somayehsadat Mahdion

Department of Mathematics, Payame Noor University, PO BOX ۱۹۳۹۵-۳۶۹۷, Tehran, Iran.

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لینک ثابت به این Paper:

https://civilica.com/doc/1994216

شناسه ملی سند علمی:

JR_JFGA-5-1_001

تاریخ نمایه سازی: 19 خرداد 1403

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Jafari, Mehdi and Mahdion, Somayehsadat,1403,Analysis of generalized quasilinear hyperbolic and Boussinesq equations from the point of view of potential symmetry,https://civilica.com/doc/1994216

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Ranking of Payame Noor University

Type of center: پیام نور

Paper count: 90,971

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