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View article: Wave modelling of 3 + 1 dimensional Wazwaz Kaur Boussinesq equation with the bilinear neural network method
Wave modelling of 3 + 1 dimensional Wazwaz Kaur Boussinesq equation with the bilinear neural network method Open
This study investigates a newly developed (3 + 1)-dimensional Wazwaz-Kaur-Boussinesq equation, a significant advancement in fluid dynamics, nonlinear wave phenomena, and mathematical physics, due to its capability to model complex wave str…
View article: Dynamics of computational waveform: A study of bifurcation, chaos, and sensitivity analysis
Dynamics of computational waveform: A study of bifurcation, chaos, and sensitivity analysis Open
This study delves into the extraction of solutions for the fractional-order that describes wave circulation in space-time fractional low-pass electrical transmission (LPET) lines and Drinfel’d–Sokolov–Wilson (DSW) equations. Leveraging the…
View article: Dynamical characteristics and modulation instability (MI) analysis of sharp slope bell soliton and kink wave solutions to the perturbed space-time fractional Boussinesq equation
Dynamical characteristics and modulation instability (MI) analysis of sharp slope bell soliton and kink wave solutions to the perturbed space-time fractional Boussinesq equation Open
To attain soliton results for the nonlinear fractional progression equations (NLFEEs) like the space-time fractional Boussinesq equation, we have utilized the advanced expansion technique. In this study, solutions are explicitly determined…
View article: On simulations of 3D fractional WBBM model through mathematical and graphical analysis with the assists of fractionality and unrestricted parameters
On simulations of 3D fractional WBBM model through mathematical and graphical analysis with the assists of fractionality and unrestricted parameters Open
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 physical phenomena resulting from water wave mechanics. The family o…
View article: On fractional order computational solutions of low-pass electrical transmission line model with the sense of conformable derivative
On fractional order computational solutions of low-pass electrical transmission line model with the sense of conformable derivative Open
In this study, we solve fractional order PDEs with free parameters that regulate wave motion in a low-pass electrical transmission line equation (LPET) using the unified technique. To convert the governing equation into an ordinary differe…
View article: Dynamical Analysis of Nonlocalized Wave Solutions of <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" id="M1"> <a:mfenced open="(" close=")"> <a:mrow> <a:mn>2</a:mn> <a:mo>+</a:mo> <a:mn>1</a:mn> </a:mrow> </a:mfenced> </a:math>-Dimensional CBS and RLW Equation with the Impact of Fractionality and Free Parameters
Dynamical Analysis of Nonlocalized Wave Solutions of 2 + 1 -Dimensional CBS and RLW Equation with the Impact of Fractionality and Free Parameters Open
This study retrieves some new exact solutions to the 2 + 1 -dimensional Calogero-Bogoyavlenskii-Schilf (CSB) equation and regularized long wave (RLW) equation in the context of nonlinear traveling wave phenomena. In this regard, the …
View article: Dynamical behaviour of travelling wave solutions to the conformable time-fractional modified Liouville and mRLW equations in water wave mechanics
Dynamical behaviour of travelling wave solutions to the conformable time-fractional modified Liouville and mRLW equations in water wave mechanics Open
In this current study, we described a modified extended tanh-function (mETF) method to find the new and efficient exact travelling and solitary wave solutions to the modified Liouville equation and modified regularized long wave (mRLW) equ…
View article: Solitary and Rogue Wave Solutions to the Conformable Time Fractional Modified Kawahara Equation in Mathematical Physics
Solitary and Rogue Wave Solutions to the Conformable Time Fractional Modified Kawahara Equation in Mathematical Physics Open
Utilizing of illustrative scheming programming, the study inspects the careful voyaging wave engagements from the nonlinear time fractional modified Kawahara equation (mKE) by employing the advanced exp − φ ξ -expansion policy in…
View article: Solitary and periodic wave solutions to the family of new 3D fractional WBBM equations in mathematical physics
Solitary and periodic wave solutions to the family of new 3D fractional WBBM equations in mathematical physics Open
For the newly implemented 3D fractional Wazwaz-Benjamin-Bona-Mahony (WBBM) equation family, the present study explores the exact singular, solitary, and periodic singular wave solutions via the ( )-expansion process. In the sense o…
View article: Interaction among lump, periodic, and kink solutions with dynamical analysis to the conformable time-fractional Phi-four equation
Interaction among lump, periodic, and kink solutions with dynamical analysis to the conformable time-fractional Phi-four equation Open
This study’s prime goal is to explore new and general analytic solutions to the conformable time-fractional Phi-four equation by utilizing the advanced exp(−φ(ξ))-expansion approach with the conformable derivative principle’s help. This ap…
View article: Dynamical analysis of long-wave phenomena for the nonlinear conformable space-time fractional (2+1)-dimensional AKNS equation in water wave mechanics
Dynamical analysis of long-wave phenomena for the nonlinear conformable space-time fractional (2+1)-dimensional AKNS equation in water wave mechanics Open
The main intension of this paper is to extract new and further general analytical wave solutions to the (2 + 1)-dimensional fractional Ablowitz-Kaup-Newell-Segur (AKNS) equation in the sense of conformable derivative by implementing the ad…
View article: Exploration on traveling wave solutions to the 3rd-order klein–fock-gordon equation (KFGE) in mathematical physics
Exploration on traveling wave solutions to the 3rd-order klein–fock-gordon equation (KFGE) in mathematical physics Open
In this paper, the -expansion method has been applied to find the new exact traveling wave solutions of the nonlinear evaluation equations (NLEEs) by utilizing 3rd-order Klein–Gordon Equation (KFGE). With the collaboration of symbolic co…