| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 766782 | Communications in Nonlinear Science and Numerical Simulation | 2014 | 8 Pages |
•Convert BLP equation to (1+1)-dimensional partial differential equation via similarity transformation.•Analyze hidden symmetry of BLP equations via studying classical and nonclassical symmetries of the (1+1)-dimensional equations.•Some new invariant solutions of BLP equations are constructed.
This paper focuses on two aspects. Firstly, we convert Boiti–Leon–Pempinelli (BLP) equation to (1+1)-dimensional partial differential equation via similarity transformation, and then analyze hidden symmetry of BLP equations via studying classical and nonclassical symmetries of the (1+1)-dimensional equations. As a byproduct, some new invariant solutions of BLP equations are constructed. Secondly, we show that BLP equation is nonlinearly self-adjoint and give the general formula of conservation laws.
