On the complex properties to the first equation of the Kadomtsev-Petviashvili hierarchy-Reference-Cited by-同舟云学术

On the complex properties to the first equation of the Kadomtsev-Petviashvili hierarchy

Published:2023-10-31 Issue:0 Volume:0 Page:
ISSN:2956-7068
Container-title:International Journal of Mathematics and Computer in Engineering
language:en
Short-container-title:

Author:

Sivasundaram Seenith¹,Kumar Ajay²,Singh Ratnesh Kumar³

Affiliation:

1. 1 Bethune-Cookman University , Daytona Beach, Florida, 32114-3099 , USA

2. 2 Department of Mathematics , Patna Women’s College (Autonomous) Patna University , Patna, Bihar, 800001 , India

3. 3 Department of Science and Technology , Government Engineering College , Buxar , , India

Abstract

Abstract This work studies on the first equation of the Kadomtsev-Petviashvili (KP) hierarchy. The sine-Gordon expansion method (SGEM) and the rational SGEM (RSGEM) are applied to the governing model. RSGEM is the developed version of SGEM. New complex travelling wave solutions, logarithmic and complex function properties are obtained. Several simulations such as 2D, 3D and contour surfaces of the obtained results are plotted. Physical meanings of these solutions are also reported. Strain conditions are also extracted.

Publisher

Walter de Gruyter GmbH

Link

https://www.sciendo.com/pdf/10.2478/ijmce-2024-0006

Reference57 articles.

1. Houwe A., Sabi’u J., Hammouch Z., Doka D.K., Solitary pulses of a conformable nonlinear differential equation governing wave propagation in low-pass electrical transmission line, Physica Scripta, 95(4), 045203, 2020.

2. Gasmi B., Kessi A., Jarad F., Hammouch Z., Various optical solutions to the (1+1)-Telegraph equation with space-time conformable derivatives, International Journal of Nonlinear Analysis and Applications, 12, 767-780, 2021.

3. Wazwaz A.M., Multi-front waves for extended form of modified Kadomtsev-Petviashvili equation, Applied Mathematics and Mechanics, 32, 875-880, 2011.

4. Hamou A.A., Hammouch Z., Azroul E., Agarwal P., Monotone iterative technique for solving finite difference systems of time fractional parabolic equations with initial/periodic conditions, Applied Numerical Mathematics, 181, 561-593, 2022.

5. Leble S.B., Ustinov N.B., Darboux transforms, deep reductions and solitons, Journal of Physics A: Mathematical and General, 26(19), 5007, 1993.

Cited by 21 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Novel solitary wave solutions and bifurcation analysis of multispecies dusty plasma consisting of cold dust grains;Alexandria Engineering Journal;2024-11

2. Painlevé integrability and multiple soliton solutions for the extensions of the (modified) Korteweg-de Vries-type equations with second-order time-derivative;Alexandria Engineering Journal;2024-09

3. Temporal wave dynamics, phase portrait and qualitative analysis of the time-dependent (2+1)-dimensional Zakharov-Kuznetsov equation;Physica Scripta;2024-08-27

4. Chaotic behaviors and stability analysis of pure‐cubic nonlinear Schrödinger equation with full nonlinearity;Mathematical Methods in the Applied Sciences;2024-08

5. Diversity of solitonic wave structures to the M‐truncated dynamical system in ultrasound imaging;Mathematical Methods in the Applied Sciences;2024-06-05