[HTML][HTML] Breather waves, analytical solutions and conservation laws using Lie–Bäcklund symmetries to the (2+ 1)-dimensional Chaffee–Infante equation
Abstract The (2+ 1)-dimensional Chaffee–Infante has a wide range of applications in
science and engineering, including nonlinear fiber optics, electromagnetic field waves …
science and engineering, including nonlinear fiber optics, electromagnetic field waves …
Numerical simulation and solutions of the two‐component second order KdV evolutionarysystem
In this study, with the aid of Wolfram Mathematica 11, the modified exp‐expansion function
method is used in constructing some new analytical solutions with novel structure such as …
method is used in constructing some new analytical solutions with novel structure such as …
[HTML][HTML] Bifurcation study and pattern formation analysis of a nonlinear dynamical system for chaotic behavior in traveling wave solution
The behaviors of optical solitons with spatio-temporal dispersion of the nonlinear
Schrödinger's equation with Kerr medium is discussed by using diverse integration …
Schrödinger's equation with Kerr medium is discussed by using diverse integration …
[HTML][HTML] Exact solutions of the generalized (2+ 1)-dimensional nonlinear evolution equations via the modified simple equation method
MO Al-Amr - Computers & Mathematics with Applications, 2015 - Elsevier
In this paper, the modified simple equation method (MSEM) is applied to construct exact
solutions of the generalized (2+ 1)-dimensional nonlinear evolution equations (NLEEs) …
solutions of the generalized (2+ 1)-dimensional nonlinear evolution equations (NLEEs) …
Lump collision phenomena to a nonlinear physical model in coastal engineering
In this study, a dimensionally nonlinear evolution equation, which is the integrable shallow
water wave-like equation, is investigated utilizing the Hirota bilinear approach. Lump …
water wave-like equation, is investigated utilizing the Hirota bilinear approach. Lump …
Extraction of exact solutions of higher order Sasa-Satsuma equation in the sense of beta derivative
Nearly every area of mathematics, natural, social, and engineering now includes research
into finding exact answers to nonlinear fractional differential equations (NFDES). In order to …
into finding exact answers to nonlinear fractional differential equations (NFDES). In order to …
[HTML][HTML] Traveling wave solutions of the (2+ 1)-dimensional Zoomeron equation and the Burgers equations via the MSE method and the Exp-function method
The modified simple equation (MSE) method is promising for finding exact traveling wave
solutions of nonlinear evolution equations (NLEEs) in mathematical physics. In this letter, we …
solutions of nonlinear evolution equations (NLEEs) in mathematical physics. In this letter, we …
Exploration of new solitons for the fractional perturbed Radhakrishnan–Kundu–Lakshmanan model
M Kaplan, RT Alqahtani - Mathematics, 2023 - mdpi.com
The key objective of the current manuscript was to investigate the exact solutions of the
fractional perturbed Radhakrishnan–Kundu–Lakshmanan model. For this purpose, we …
fractional perturbed Radhakrishnan–Kundu–Lakshmanan model. For this purpose, we …
[PDF][PDF] Exact wave solutions to the simplified modified Camassa-Holm equation in mathematical physics
MN Islam, M Asaduzzaman, MS Ali - Aims Math, 2019 - researchgate.net
Exact wave solutions to the simplified modified Camassa-Holm equation in mathematical
physics Page 1 AIMS Mathematics, 5 (1): 26–41. DOI: 10.3934/math.2020003 Received: 04 …
physics Page 1 AIMS Mathematics, 5 (1): 26–41. DOI: 10.3934/math.2020003 Received: 04 …
[HTML][HTML] Abundant analytical closed-form solutions and various solitonic wave forms to the ZK-BBM and GZK-BBM equations in fluids and plasma physics
Solitary wave profiles of various forms can be found in many disciplines, including
oceanography, marine engineering, plasma physics, optical fibers, fluid dynamics, and …
oceanography, marine engineering, plasma physics, optical fibers, fluid dynamics, and …