Similarity Reductions and Integrable Properties of Lax Pair for Boiti-Leon-Manna-Pempinelli Equation
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Keywords:
Lie symmetry, Boiti-Leon-Manna-Pempinelli-equation, Bell polynomials, B$\ddot{\rm{a}}$cklund transformations, Lax pairs, Traveling wave solutionsAbstract
Based on symbolic computational system Maple; classical Lie symmetry reductions of Lax pair for Boiti--Leon--Manna--Pempinelli(BLMP) equation are presented. We have obtained three interesting reductions for Lax pair along with one exact solution. Analysis of reductions have shown that, under similar symmetry group compatibility condition of reduced Lax pair is same as of reduced equation. Moreover, one of the reduced equation is analyzed with Bell polynomials for B$\ddot{\rm{a}}$cklund transformations and Lax pairs; several new traveling wave solutions are also constructed.
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