scholarly journals Links between(γn,σk)-KP Hierarchy,(γn,σk)-mKP Hierarchy, and (2+1)-(γn,σk)-Harry Dym Hierarchy

2015 ◽  
Vol 2015 ◽  
pp. 1-11
Author(s):  
Yehui Huang ◽  
Yuqin Yao ◽  
Yunbo Zeng
Keyword(s):  
Time Series ◽  
Evolution Equations ◽  
Soliton Solutions ◽  
Kp Hierarchy ◽  
Gauge Transformations ◽  
New Time

The new (2+1)-(γn,σk)-Harry Dym hierarchy and(γn,σk)-mKP hierarchy with two new time seriesγnandσk, which consist ofγn-flow,σk-flow, and mixedγnandσkevolution equations of eigenfunctions, are proposed. Gauge transformations and reciprocal transformations between(γn,σk)-KP hierarchy,(γn,σk)-mKP hierarchy, and (2+1)-(γn,σk)-Harry Dym hierarchy are studied. Their soliton solutions are presented.

scholarly journals A NEW (γn, σk)-KP HIERARCHY AND GENERALIZED DRESSING METHOD

2012 ◽  
Vol 19 (04) ◽  
pp. 1250027 ◽  
Author(s):  
YUQIN YAO ◽  
YEHUI HUANG ◽  
YUNBO ZENG
Keyword(s):  
Time Series ◽  
Evolution Equations ◽  
Kp Hierarchy ◽  
Dressing Method ◽  
New Time

A new (γn, σk)-KP hierarchy (KPH) with two new time series γn and σk, which consists of γn-flow, σk-flow and mixed γn and σk evolution equations of eigenfunctions, is proposed. Two reductions and constrained flows of (γn, σk)-KPH are studied. The dressing method is generalized to the (γn, σk)-KPH and some solutions are presented.

scholarly journals The unified method for abundant soliton solutions of local time fractional nonlinear evolution equations

2021 ◽  
Vol 22 ◽  
pp. 103979
Author(s):  
Nauman Raza ◽  
Muhammad Hamza Rafiq ◽  
Melike Kaplan ◽  
Sunil Kumar ◽  
Yu-Ming Chu
Keyword(s):  
Local Time ◽  
Evolution Equations ◽  
Nonlinear Evolution ◽  
Soliton Solutions ◽  
Nonlinear Evolution Equations ◽  
The Unified Method ◽  
Unified Method

SOCIAL SECURITY AND SAVING: NEW TIME SERIES EVIDENCE

1996 ◽  
Vol 49 (2) ◽  
pp. 151-164
Author(s):  
MARTIN FELDSTEIN
Keyword(s):  
Time Series ◽  
Social Security ◽  
New Time

scholarly journals The Evolutionary Properties on Solitary Solutions of Nonlinear Evolution Equations

2017 ◽  
Vol 2017 ◽  
pp. 1-6
Author(s):  
Wenxia Chen ◽  
Danping Ding ◽  
Xiaoyan Deng ◽  
Gang Xu
Keyword(s):  
Soliton Solution ◽  
Evolution Equations ◽  
Nonlinear Evolution ◽  
Soliton Solutions ◽  
Nonlinear Evolution Equations ◽  
Evolution Process ◽  
Solution Curve ◽  
Solitary Solutions ◽  
Basic Calculus

The evolution process of four class soliton solutions is investigated by basic calculus theory. For any given x, we describe the special curvature evolution following time t for the curve of soliton solution and also study the fluctuation of solution curve.

Explicit, periodic and dispersive soliton solutions to the conformable time-fractional Wu–Zhang system

2021 ◽  
pp. 2150417
Author(s):  
Kalim U. Tariq ◽  
Mostafa M. A. Khater ◽  
Muhammad Younis
Keyword(s):  
Fractional Derivative ◽  
Traveling Wave ◽  
Evolution Equations ◽  
Nonlinear Evolution ◽  
Soliton Solutions ◽  
Traveling Wave Solutions ◽  
Nonlinear Evolution Equations ◽  
Conformable Fractional Derivative ◽  
Physical Behavior ◽  
Wave Solutions

In this paper, some new traveling wave solutions to the conformable time-fractional Wu–Zhang system are constructed with the help of the extended Fan sub-equation method. The conformable fractional derivative is employed to transform the fractional form of the system into ordinary differential system with an integer order. Some distinct types of figures are sketched to illustrate the physical behavior of the obtained solutions. The power and effective of the used method is shown and its ability for applying different forms of nonlinear evolution equations is also verified.

Explaining Economic Growth in China: New Time Series and Econometric Tests of Various Models

2020 ◽  
Vol Prépublication (0) ◽  
pp. I79-XXXIV
Author(s):  
Zhiming Long ◽  
Rémy Herrera ◽  
Weinan Ding
Keyword(s):  
Economic Growth ◽  
Time Series ◽  
Econometric Tests ◽  
New Time
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