Through the previous three editions, Handbook of Differential Equations has proven an
invaluable reference for anyone working within the field of mathematics, including …

Some new similarity reductions of the Boussinesq equation, which arises in several physical
applications including shallow water waves and also is of considerable mathematical …

The direct method for the construction of local conservation laws of partial differential
equations (PDE) is a systematic method applicable to a wide class of PDE systems (S. Anco …

This article discusses the thermophoretic motion (TM) equation that is used to describe
soliton-like thermophoresis of wrinkles in Graphene sheet based on the Korteweg–de Vries …

I will sketchily illustrate how the theory of symmetry helps in determining solutions of
(deterministic) differential equations, both ODEs and PDEs, staying within the classical …

It is well known that symmetry-based methods are very powerful tools for investigating
nonlinear partial differential equations (PDEs), notably for their reduction to those of lower …

In this paper we discuss symmetry reductions and exact solutions of the Boussinesq
equation using the classical Lie method of infinitesimals, the direct method due to Clarkson …

In this paper the author presents some new similarity solutions of the modified Boussinesq
equation, which is a completely integrable soliton equation. These new similarity solutions …

Abstract In this article, a (2+ 1)-dimensional system of Broer–Kaup–Kupershmidt (BKK)
equations, which describes the non-linear, and long gravity waves in a dispersive system, is …

Abstract A (2+ 1)-dimensional fifth-order integrable model, the fifth member of the
Kadomtsev-Petviashvilli hierarchy (KP5 equation) is investigated. The Lax pairs and the …