Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
Bifurcation, chaotic behavior and soliton solutions to the KP-BBM equation through new Kudryashov and generalized Arnous methods
View through CrossRef
<abstract><p>This research paper investigates the Kadomtsev-Petviashvii-Benjamin-Bona-Mahony equation. The new Kudryashov and generalized Arnous methods are employed to obtain the generalized solitary wave solution. The phase plane theory examines the bifurcation analysis and illustrates phase portraits. Finally, the external perturbation terms are considered to reveal its chaotic behavior. These findings contribute to a deeper understanding of the dynamics of the Kadomtsev-Petviashvii-Benjamin-Bona-Mahony wave equation and its applications in real-world phenomena.</p></abstract>
American Institute of Mathematical Sciences (AIMS)
Title: Bifurcation, chaotic behavior and soliton solutions to the KP-BBM equation through new Kudryashov and generalized Arnous methods
Description:
<abstract><p>This research paper investigates the Kadomtsev-Petviashvii-Benjamin-Bona-Mahony equation.
The new Kudryashov and generalized Arnous methods are employed to obtain the generalized solitary wave solution.
The phase plane theory examines the bifurcation analysis and illustrates phase portraits.
Finally, the external perturbation terms are considered to reveal its chaotic behavior.
These findings contribute to a deeper understanding of the dynamics of the Kadomtsev-Petviashvii-Benjamin-Bona-Mahony wave equation and its applications in real-world phenomena.
</p></abstract>.
Related Results
Soliton solutions to the time-fractional Kudryashov equation: Applications of the new direct mapping method
Soliton solutions to the time-fractional Kudryashov equation: Applications of the new direct mapping method
In this paper, we analyze the dynamic characteristics of the well-known Kudryashov equation with a conformable derivative in the context of pulse propagation within optical fibers....
Soliton transmission in cascaded distributed erbium-doped fiber amplifiers
Soliton transmission in cascaded distributed erbium-doped fiber amplifiers
Soliton is considered to be the carrier for high bit–rate and long distance fiber communication system. Because of fiber loss, soliton is amplified periodically to maintain its pow...
DAMPAK KENAIKAN HARGA BBM TERHADAP KINERJA SEKTOR KELAUTAN DAN PERIKANAN
DAMPAK KENAIKAN HARGA BBM TERHADAP KINERJA SEKTOR KELAUTAN DAN PERIKANAN
Tujuan dari penelitian ini mengevaluasi dampak kenaikan harga BBM terhadap kinerja sektor kelautan dan perikanan. Penelitian ini menggunakan data input-output nasional yang dianali...
Extractraction of non-stationary harmonic from chaotic background based on synchrosqueezed wavelet transform
Extractraction of non-stationary harmonic from chaotic background based on synchrosqueezed wavelet transform
The signal detection in chaotic background has gradually become one of the research focuses in recent years. Previous research showed that the measured signals were often unavoidab...
Fuzzy Chaotic Neural Networks
Fuzzy Chaotic Neural Networks
An understanding of the human brain’s local function has improved in recent years. But the cognition of human brain’s working process as a whole is still obscure. Both fuzzy logic ...
Simulation Of Soliton Amplification In Micro Ring Resonator For Optical Communication
Simulation Of Soliton Amplification In Micro Ring Resonator For Optical Communication
A system consisting of a series of micro ring resonator (MRR) is proposed. Optical dark and bright soliton pulses propagating through the nonlinear waveguides are amplified. This s...
Finite-amplitude ion-acoustic solitons in weakly inhomogeneous plasmas
Finite-amplitude ion-acoustic solitons in weakly inhomogeneous plasmas
The properties of an ion-acoustic soliton in a weakly inhomogeneous plasma are studied. Unlike previous analyses, the soliton amplitude is not required to be small. The ion generat...
Novel N-soliton and periodic wave solutions for the (2 + 1)-dimensional Calogero–Degasperis equation with variable coefficients
Novel N-soliton and periodic wave solutions for the (2 + 1)-dimensional Calogero–Degasperis equation with variable coefficients
Purpose
In this study, the (2 + 1)-dimensional variable coefficient Calogero–Degasperis equation (vCDE), which models various phenomena, including wave propagat...