In the present article, Lie group of point transformations method is successfully applied to
study the invariance properties of the (2+ 1)(2+ 1)-dimensional Pavlov equation. Applying …

Exact Solutions and Invariant Subspaces of Nonlinear Partial Differential Equations in
Mechanics and Physics is the first book to provide a systematic construction of exact …

Most nonlinear differential equations arising in natural sciences admit chaotic behaviour and
cannot be solved analytically. Integrable systems lie on the other extreme. They possess …

In this paper, an interaction of two-soliton solutions, interactions of the kink with other types
of solitary wave solutions of Pavlov equation are constructed via Lie symmetry analysis. The …

For several classes of second-order dispersionless PDEs, we show that the symbols of their
formal linearizations define conformal structures that must be Einstein-Weyl in 3D (or self …

The equations governing anti-self-dual and Einstein-Weyl conformal geometries can be
regarded as “master dispersionless systems” in four and three dimensions, respectively …

On a class of 2D integrable lattice equations | Journal of Mathematical Physics | AIP Publishing
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In this work, Lie symmetry analysis and one-dimensional optimal system for Pavlov equation
are presented. All the possible vector fields, their commutative and adjoint relations are …

A large class of integrable non-linear partial differential equations is characterized by the
existence of the associated linear problem (in the case of two independent variables, known …

F u, ui, uij 0, 1 where u is a vector-function of d 1 independent variables. For definiteness, let
us consider (31)-dimesional PDEs in four independent variables t, x, y, z. Equations of this …