scholarly journals General multicomponent Yajima-Oikawa system: Painlevé analysis, soliton solutions, and energy-sharing collisions

2013 ◽  
Vol 88 (6) ◽  
Author(s):  
T. Kanna ◽  
K. Sakkaravarthi ◽  
K. Tamilselvan
Keyword(s):  
Soliton Solutions ◽  
Painlevé Analysis ◽  
Energy Sharing ◽  
Painleve Analysis

scholarly journals Soliton solutions, Painleve analysis and conservation laws for a nonlinear evolution equation

2021 ◽  
Vol 23 ◽  
pp. 103999
Author(s):  
S.T.R. Rizvi ◽  
Aly R. Seadawy ◽  
Muhammad Younis ◽  
Ijaz Ali ◽  
S. Althobaiti ◽  
...  
Keyword(s):  
Evolution Equation ◽  
Conservation Laws ◽  
Nonlinear Evolution Equation ◽  
Nonlinear Evolution ◽  
Soliton Solutions ◽  
Painlevé Analysis ◽  
Painleve Analysis

Painlevé analysis of Fokas–Lenells equation with fractal temporal evolution

2021 ◽  
pp. 2150351
Author(s):  
Nauman Raza ◽  
Adeela Yasmeen
Keyword(s):  
Optical Fibers ◽  
Temporal Evolution ◽  
Soliton Solutions ◽  
Nonlinear Problems ◽  
Optical Solitons ◽  
Painlevé Analysis ◽  
Fractal Parameter ◽  
Painleve Analysis ◽  
Kink Soliton

This paper presents new optical solitons of a fractal Fokas–Lenells equation that models the dynamics of optical fibers. The Painlevé technique is employed to identify kink soliton solutions. The constraint conditions guarantee the existence of these solitons. The outcomes of this research give new solutions that are not achieved using some already defined algorithms. The derived method is efficient and its applications are promising for other nonlinear problems. The 3D graphical illustrations of obtained results are depicted for various values of the fractal parameter.

A seventh-order member of KdV6 hierarchy and its (2+1)-dimensional extensions

2016 ◽  
Vol 30 (17) ◽  
pp. 1650198 ◽  
Author(s):  
Abdul-Majid Wazwaz
Keyword(s):  
Soliton Solutions ◽  
Dispersion Relations ◽  
Painlevé Analysis ◽  
Completely Integrable ◽  
Hirota’S Method ◽  
Multiple Soliton Solutions ◽  
Simplified Hirota’S Method ◽  
Seventh Order ◽  
Hirota's Method ◽  
Painleve Analysis

In this work, we investigate a completely integrable seventh-order member of the KdV6 hierarchy. We develop two extensions of (2[Formula: see text]+[Formula: see text]1) dimensions for this equation. We show that the dispersion relations are distinct that will reflect on the structures of the obtained solutions. We use the simplified Hirota’s method to determine multiple soliton solutions for these three equations. The integrability of the extended equations is tested by using the Painlevé analysis.

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