The Zoomeron model is applied to various types of solitons arising in fluid mechanics, laser
optics, and nonlinear physics. We derive analytical solutions to the mentioned model using …

This paper presents an analytical solver which is known as a generalization of types
methodologies. With the proposed method, one of the old but at the same time popular …

Abstract The Riccati-Bernoulli sub-ODE method is firstly proposed to construct exact
traveling wave solutions, solitary wave solutions, and peaked wave solutions for nonlinear …

Abstract This manuscript employs the (2+ 1)-dimensional Zoomeron model extensively used
in laser physics, fluids, optical fibre communication, and other mathematical physics and …

The propagation of three-dimensional nonlinear irrotational flow of an inviscid and
incompressible fluid of the long waves in dispersive shallow-water approximation is …

In this paper, a new generalized exponential rational function method is employed to extract
new solitary wave solutions for the Zakharov–Kuznetsov equation (ZKE). The ZKE exhibits …

In this study, we investigate the nonlinear Zoomeron equation by using the extended rational
sin− cos and sinh− cosh methods. We successfully constructed some important solutions …

In this study, the nonlinear (2+ 1)-dimensional generalized breaking soliton system has
been studied by introducing an appropriate travelling wave transformation. The model under …

This study emphasizes the importance of understanding natural phenomena through
various observations and relating them to scientific studies. Nonlinear partial differential …

The modified auxiliary equation (MAE) approach and the generalized projective Riccati
equation (GPRE) method are used for the first time to solve Zoomeron problem which …