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CK Method And Auto-Backlund Transformation To Find New Exact Solutions Of The (1+1)-Dimensional Variable-Coefficient KdV Equation
CK Method auto-B¨acklund transformation soliton-type solutions
2011/10/18
In this letter, based on the computerized symbolic computation, we extend the Clarkson and Kruskal (CK) method to search for new soliton-type solutions and auto-B¨acklund transformation of partial dif...
Exact Solutions with Two Parameters for an Ultradiscrete Painlevé Equation of Type $A_6^{(1)}$
Painlev´ e equations ultradiscrete systems
2011/7/6
An ultradiscrete system corresponding to the q-Painlev´e equation of type A(1)
6 ,
which is a q-difference analogue of the second Painlev´e equation, is proposed. Exact solutions
with t...
Exact Solutions of Incompressible Couette Flow with Constant Temperature and Constant Heat Flux on Walls in the Presence of Radiation
Transient Natural convection Channel flow Heat flux Exact solution Radiation
2009/10/9
The present paper investigates a closed form solution for the transient free convection flow of a viscous fluid between 2 infinite vertical parallel plates in the presence of radiation. The flow is se...