Group analysis and conservation laws of an integrable Kadomtsev–Petviashvili equation | Zendy

Gangwei Wang | Zendy; Qi Wang | Zendy; Yingwei Chen | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Group analysis and conservation laws of an integrable Kadomtsev–Petviashvili equation

Author(s) -

Gangwei Wang,

Qi Wang,

Yingwei Chen

Publication year - 2018

Publication title -

nonlinear analysis modelling and control

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.734

H-Index - 32

eISSN - 2335-8963

pISSN - 1392-5113

DOI - 10.15388/na.2019.1.3

Subject(s) - conservation law , infinitesimal , integrable system , homogeneous space , symmetry (geometry) , mathematics , soliton , series (stratigraphy) , basis (linear algebra) , mathematical physics , nonlinear system , power series , group (periodic table) , mathematical analysis , law , physics , geometry , quantum mechanics , political science , paleontology , biology

In this paper, an integrable KP equation is studied using symmetry and conservation laws. First, on the basis of various cases of coefficients, we construct the infinitesimal generators. For the special case, we get the corresponding geometry vector fields, and then from known soliton solutions we derive new soliton solutions. In addition, the explicit power series solutions are derived. Lastly, nonlinear self-adjointness and conservation laws are constructed with symmetries.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research