Lie symmetry reductions and group invariant solutions of (2 + 1)-dimensional modified Veronese web equation

• DOI: 10.1007/s11071-019-05294-x
• Publication Date: 2019-10-28T12:04:33Z
• Authors: Sachin Kumar; Amit Kumar
• Keywords: 0103 physical sciences; 01 natural sciences

The Lie symmetry method is successfully applied to compute group invariant solutions for (2 + 1)-dimensional modified Veronese web equation. The purpose of this present article is to study the modified Veronese web (mVw) equation and to obtain its infinitesimals, commutation table of Lie algebra, symmetry reductions and closed form analytical solutions. The obtained results are explicitly in the form of the functions $$f_1(y),f_2(t),f_3(x)$$ and $$f_4(x)$$ and hold numerous solitary wave solutions that are more helpful to describe dynamical phenomena through their evolution profile. The solutions are analysed physically via numerical simulation. Consequently, elastic behaviour multisolitons, line soliton, doubly soliton, parabolic wave profile, nonlinear behaviour of wave profile and elastic interaction soliton profile of solutions are demonstrated in the analysis and discussion section to make this study more praiseworthy.