KdV equations have a lot of applications in fluid mechanics. The exact solutions the play vital role wave dynamics fluids. In this paper, some new generalized geophysical equation are computed with aid tanh-coth method. To implement procedure, we first convert PDEs to ODEs help transformation. Then, using system algebraic equations, obtain several soliton solutions. verify and clearly illustrat...

In the theoretical investigation, directly seeking exact solutions for nonlinear partial differential equations has become one of the central themes of perpetual interest in mathematical physics. Nonlinear wave phenomena appear in many fields, such as fluid mechanics, biomathematics, plasma physics, optical fibers, chemical physics, and other areas of engineering. These nonlinear phenomena are ...

Nonlinear partial differential equations are widely used to describe complex phenomena in various fields of science, for example the Korteweg-de Vries-Kuramoto-Sivashinsky equation (KdV-KS equation) and the Ablowitz-Kaup-Newell-Segur shallow water wave equation (AKNS-SWW equation). To our knowledge the exact solutions for the first equation were still not obtained and the obtained exact solutio...

Abstract The energy sector occupies a central role in European policy regarding the sustainability and climate change ambitions. This economic gained even more importance context of growing demand threat to security stability Eastern Europe. administrative changes from past years shift towards renewable sources created momentum for general transformation sector. research this field is much need...

Multimodal biometric systems consolidate the evidence presented by multiple biometric sources and typically provide better recognition performance compared to systems based on a single biometric modality. Although information fusion in a multimodal system can be performed at various levels, integration at the matching score level is the most common approach due to the ease in accessing and comb...

In a recent paper [Abazari R. Application of ( ′ G )-expansion method to travelling wave solutions of three nonlinear evolution equation. Computers & Fluids 2010;39:1957–1963], the (G/G)-expansion method was used to find travelling-wave solutions to three nonlinear evolution equations that arise in the mathematical modelling of fluids. The author claimed that the method delivers more general fo...

The (G'/G)-expansion method is one of the most direct and effective method for obtaining exact solutions of nonlinear partial differential equations (PDEs). In the present article, we construct the exact traveling wave solutions of nonlinear evolution equations in mathematical physics via the (2 + 1)-dimensional breaking soliton equation by using two methods: namely, a further improved (G'/G)-e...

In this paper, we present two methods for finding solutions to the one-dimensional nonlinear Burgers’ equation. The first method is an analytical one, which is based on the tanh – function method. The second method is based on the Adomian decomposition method where two approaches are introduced. The first approach considers the use of the initial condition while the other considers the use of t...

Various extensions of the tanh-function method and their implementations for finding explicit travelling wave solutions to nonlinear partial differential equations (PDEs) have been reported in the literature. However, some solutions are often missed by these packages. In this paper, a new algorithm and its implementation called TWS for solving single nonlinear PDEs are presented. TWS is impleme...

The fractional solitons have demonstrated many new phenomena, which cannot be explained by the traditional solitary wave theory. This paper studies some famous equations including KdV–Burgers equation and approximate long water a modified tanh-function method. solving process is given in details, can rigorously obtained exact solutions. offers window for studying solitons.