Activation energy with exothermic/endothermic reaction and Coriolis force effects on magnetized nanomaterials flow through Darcy–Forchheimer porous space with variable features

The sub-equation method is implemented to construct exact solutions for the conformable perturbed nonlinear Schrödinger equation. In this paper, we consider three different types of nonlinear perturbations: The quadratic–cubic law, the quadratic–quartic–quintic law, and the cubic–quintic–septic law. The properties of the conformable derivative are discussed and applied with the help of a suitable wave transform that converts the governing model to a nonlinear ordinary differential equation. Furthermore, the order of the expected polynomial-type solution is obtained using the homogeneous balancing approach. Dark and singular soliton solutions are derived.

The novel soliton solutions for the conformable perturbed nonlinear Schrödinger equation

In this article, we investigate the exact solitary wave solutions to the 3D fractional Wazwaz-Benjamin- Bona-Mahony (3D-FWBBM) equation in emerging shallow-water waves. Different kinds of solutions such as hyperbolic, trigonometric, Jacobi elliptic, and rational function including some special known solitary waves like shock, singular, combo shock-solitary wave, and multiple soliton solutions are achieved by the utilization of the sound computational integration tools namely the new Φ 6 -model expansion method and modified direct algebraic method (MDAM). In addition, we also secure mixed combined solitons and singular periodic solutions and the constraint conditions also emerge which provide the guarantee to the reported solutions. Some results are figured out graphically in 3D, 2D, and their corresponding contour profiles by selecting appropriate parametric values to anticipate the wave dynamics of the solutions. The obtained outcomes are more general and fresh to show that these applied methods are concise, direct, elementary, and can be imposed in more complex phenomena with the assistance of symbolic computations.

New exact solitary wave solutions for the 3D-FWBBM model in arising shallow water waves by two analytical methods

In present work, we discussed the (3+1)-dimensional generalized Korteweg–de-Vries–Zakharov–Kuznetsov equation (gKdV-ZKe) which describes the effect of magnetic field on weak nonlinear ion-acoustic waves studied in the field of plasma comprised of cool and hot electrons. The solutions of gKdV-ZKe are acquired by new modified extended direct algebraic method (MEDAM) and are observed in the form of solitary, shock, singular, shock-singular, solitary-shock and double singular soliton solutions. Moreover, the families of rational solutions are also emerged during the derivation. The results we derive, in this article, are useful to study and verify the analytical solutions with numerical and experimental solutions in plasma physics. The obtained solutions are also illustrated graphically. • The weakly nonlinear electron-acoustic waves in plasma. • The nonlinear generalized Korteweg–de-Vries–Zakharov–Kuznetsov dynamical equation. • Weakly dispersive prorogation of waves in mathematical physics. 

Weakly nonlinear electron-acoustic waves in the fluid ions propagated via a (3+1)-dimensional generalized Korteweg–de-Vries–Zakharov–Kuznetsov equation in plasma physics

In this article, we study the double chain deoxyribonucleic acid (DNA) system, the work will be carried out via appropriate transformations. Distinct types of soliton solutions, namely, lump, lump one stripe, lump two stripe, lump periodic and rogue wave solutions will be studied for different polynomial functions. By setting the function as the general quadratic polynomial function, a type of lump solution which contains various parameters will be obtained. We also show an interaction solution with lump, periodic and kink wave respectively. This article also, leads to construct Ma-breather (MB), Kuznetsov-Ma breather (KMB) and its relating rogue wave solutions. Some of the obtained solutions will be graphically exemplified. • The nonlinear physics for the (2 + 1)-dimensional double-chain DNA system • Discussion on multiple lumps; rogue wave; breathers • The analytical modified methods are applied. • Multiple lump solutions and rogue wave with interactions 

Lumps, breathers, interactions and rogue wave solutions for a stochastic gene evolution in double chain deoxyribonucleic acid system

This article possesses new exact wave structures to the Gilson–Pickering equation (GPE) that describes the prorogation of waves in plasma physics. The solutions are achieved in single and combined behavior like shock, singular, shock-singular, singular periodic waves and periodic as well rational function by utilizing innovative integration norms namely ( G ′ G 2 )-expansion method and expansion function method (EFM). Moreover, under the suitable choice of involved parameters 3-, 2-dimensional, and their corresponding contour plots are also sketched. The obtained results show that the applied computational schemes are straightforward, efficient, concise and can be utilized for more complex physical phenomena in various fields of sciences. The reported results are helpful to understand the studying of wave propagation and are also vital for numerical and experimental verification in plasma physics.

S.T.R. Rizvi

Papers

Analytical wave structures in plasma physics modelled by Gilson-Pickering equation by two integration norms