Studies on the water waves are undertaken in hydrodynamics. In this Letter, a (2+ 1)-
dimensional generalized variable-coefficient Boiti–Leon–Pempinelli system describing the …

This study investigates various analytic soliton solutions of the generalized (2+ 1)-
dimensional Calogero-Bogoyavlenskii-Schiff (CBS) equation in fluid dynamics and plasma …

Lump (rational) waves and their interactions with kink and periodic waves, periodic cross-
lump solutions will be discussed for (2+ 1)-dimensional Maccari-system in this paper. With …

For the electromagnetic waves in an isotropic charge-free infinite thin film with the potential
application in magneto-optic recording, we investigate a (2+ 1)-dimensional variable …

In the recent work, our purpose to study the dust acoustic solitary wave (DASWs) for mixed
nonlinearity mKdV equation under dusty plasma. The constructed new results denote to dust …

This paper studies a nonlinear partial differential equation governing wave propagation in
nonlinear low-pass electrical transmission. A travelling wave transformation is used to …

In this article, we will mainly focus on finding the Lie symmetries of a couple of models like
the famous generalized mixed nonlinear Schrödinger equation and Degasperis Procesi …

The current work deals with the classical and non-classical Lie group analysis for the
fractional type system of nonlinear Chen–Lee–Liu (CLL) equations. The invariance surface …

In the current work, we study the coupled Schrödinger–KdV (CS–KdV) equation. The Lie
point symmetry generators are derived for the CS–KdV equation. We also show that the CS …

The generalized Korteweg–de Vries–Zakharov–Kuznetsov model is one of the dominant
nonlinear complex structures to exhibit the influence of magnetic fields on weak ion‐acoustic …