Soliton theory research has a substantial impact on the application of nonlinear sciences in different fields. This led to significant increase focus researchers study solitary waves recent years. explores diverse dynamic behaviors exhibited by soliton solutions within framework neuron model. In neuroscience, this model is regarded as an important tool for comprehending initiation and propagation action potentials along axons through thermodynamic nerve pulse transmission. The proposed...

Abstract The beta fractional form of the Estevez-Mansfield-Clarkson equation is under consideration and this study done with assistance methods such as modified F-expansion method logarithmic transformation. A variety analytical solutions like bright, dark, mixed, singular, bright-dark, combined solitons are extracted. Moreover, multi waves structures, interaction double exponential form, breather waves, mixed type
 well periodic cross kink have been analyzed. governing converted...

In this work, we study the solitary wave profiles of fractional-Sharma–Tasso–Olver equation, which is applicable to particle fission and fusion mechanisms in nuclear physics. numerical analytical theories, exact solutions are uttermost importance for such equations. Improved methods essential a deeper understanding dynamics, despite their widespread implementation. study, use advanced techniques known as generalized Arnous method, modified Riccati equation mapping technique, extended simple...

Multicomponent-coupled nonlinear Schrodinger-type equations are significant mathematical models that have their origins in numerous disciplines such as the optics, theory of deep water waves, plasma physics, and fluid dynamics, many others. This work is mainly concerned to study fractional optical soliton solutions truncated three component coupled Schrödinger-type system. The plays a crucial role telecommunication industry by utilization optics. principal area research field solitons...

The global weak solution of an initial‐boundary value problem for a compressible non‐Newtonian fluid is studied in three‐dimensional bounded domain. By the techniques artificial pressure, to constructed through approximation scheme and convergence method. existence with vacuum large data established.

In this paper, an efficient meshfree collocation scheme based on radial basis function is implemented for the numerical solution of 7th-order Korteweg-de Vires (KdV) equations. The demand meshless techniques increment because its nature and simplicity usage in higher dimensions. proposed tested several test problems. efficiency accuracy suggested analyzed via ||L||∞ and ||L||2 error norms.

In this article, we investigate the global behavior of magnetohydrodynamic (MHD) fluid?s weak solutions in three-dimensional bounded domain with a compact Lipschitz boundary driven by arbitrary forces. We show that attractors exist under specific limitations on adiabatic constant ?.

The object of the present paper is to obtain new sufficiency criteria for a class alpha convex functions and then discuss its applications to generalized integral operator. Many known results appear as special consequences our work. Some applications work operator also given.

Abstract This article is devoted to a coupled microscopic/macroscopic model describing the evolution of particles dispersed in fluid. The system consists Vlasov‐Fokker‐Planck equation describe microscopic motion equations for compressible non‐Newtonian An initial‐boundary value problem studied bounded domain with divergence velocity field keeping bounded. existence global weak solution established through an approximation scheme, fixed point argument, lower semi‐continuity monotone...

In this paper, we study the integrability up to boundary of weak solutions non-Newtonian compressible fluid with a nonlinear constitutive equation in ℝ3 bounded domain. Galerkin approximation will be used for existence and by applying linear operator B, introduced Bogovskii, prove square density boundary.