In this paper, we consider a (2+ 1)-dimensional breaking soliton equation which describe
the (2+ 1)-dimensional interaction of the Riemann wave propagating along the y-axis with a …

Abstract A (3+ 1)-D generalized B-type KP-Boussinesq equation, which was recently
formulated in the literature, is investigated here from Lie group standpoint. A solution is …

Symmetry-and conservation law-preserving finite difference discretizations are obtained for
linear and nonlinear one-dimensional wave equations on five-and nine-point stencils using …

An efficient systematic procedure is provided for symbolic computation of Lie groups of
equivalence transformations and generalized equivalence transformations of systems of …

Lie symmetry analysis provides a general theoretical framework for investigating ordinary
and partial differential equations. The theory is completely algorithmic even if it usually …

In this work, a complete tree of nonlocally related partial differential equations of Chaplygin
gas equations is constructed. This tree includes the systems, which are obtained through …

We study the derivative nonlinear Schrödinger equation which has several applications,
such as the propagation of circular polarized nonlinear Alfvén waves in plasmas. We …

A non-local evolution equation of the Camassa-Holm type with dissipation is considered.
The local well-posedness of the solutions of the Cauchy problem involving the equation is …

In this paper we study a generalized coupled (2+ 1)-dimensional Burgers system, which is a
nonlinear version of a bilinear system under some dependent variable transformations. It …

In this work we investigate the equal-width equation, which is used for simulation of (1-D)
wave propagation in non-linear medium with dispersion process. Firstly, Lie symmetries are …