Solitons are specialized solutions to certain nonlinear partial differential equations (PDEs)
that behave like localized waves. They maintain their shape and speed as they propagate …

In the electrical transmission lines, the processing of cable signals distribution, computer
networks, high-speed computer databases and discrete networks can be investigated by the …

The objective of this research is to investigate the nonlinear Landau–Ginzburg–Higgs
equation, which characterizes nonlinear solitary waves exhibiting distant and feeble …

In this research, the new auxiliary equation method (NAEM) for higher order nonlinear
fractional Huxley equation is being employed to extricate the novel soliton solutions using …

From point of view of two distinct various techniques accurate solutions for the thin-film
ferroelectric materials equation which plays vital role in optics are implemented which …

The main aim of this article is to establish new impressive diverse soliton solutions to the
nonlinear Coupled Konno-Oono Model (NCKOM) that represents current-field string interact …

In our current study, we will extract enormous, impressive soliton solutions to a (2+ 1)-
dimensional Heisenberg ferromagnetic spin chains with bilinear and anisotropic interactions …

Abstract The Myrzakulov–Lakshmanan Equation-II (MLE-II) that refers to the (2+ 1)-
dimensional integrable spin system has five various formalisms. In Our current study we will …

Abstract The fractional (3+ 1)-dimensional nonlinear Schrödinger equation with cubic–
quintic–septic nonlinearities plays a significant role in the study of ultra-short pulses in highly …

The principal objective of this work focuses on achieving a class of advanced and
impressive N-dark–dark solitons estimations to the coupled nonlinear Schrödinger system …