The φ 6-model expansion approach is presented to achieve optical soliton solutions for the
Fokas-Lenells model. We apply a variable relation to translate the model's partial differential …

By utilizing Hirota's bilinear and a novel limit method, the degenerate lump solutions
including anomalous scattering of lumps and weak interaction of multiple lumps can be …

In this work, a multivariate bilinear neural network method is proposed to seek more exact
analytical solutions of nonlinear partial differential equations. As an example, the (2+ 1) …

We explore stochastic–fractional Drinfel'd–Sokolov–Wilson (SFDSW) equations for some
wave solutions such as the cross-kink rational wave solution, periodic cross-rational wave …

In this paper, we investigate the (3+ 1)-dimensional Burger system which is employed in
soliton theory and generated by considering the Hirota bilinear equation. We conclude some …

The behaviour of the solid tumour invasion system in the sense of Caputo fractional with
time ζ and space x is analyzed by the high performance computational method: q-Homotopy …

We focused on solitonic phenomena in wave propagation which was extracted from a
generalized breaking soliton system in (3+ 1)-dimensions. The model describes the …

In this research, the modified extended tanh-function (METF) and the extended Jacobi
elliptic function expansion (EJEFE) techniques are used to investigate the generation and …

In this paper, the Hirota bilinear method, which is an important scheme, is used. The
equation of the shallow water wave in oceanography and atmospheric science is extended …

This study retrieves some novel exact solutions to the family of 3D space–time fractional
Wazwaz–Benjamin–Bona–Mahony (WBBM) equations in the context of diverse nonlinear …