scholarly journals Fifth order semi analytical solution of exact Korteweg-de Vries equation

2018 ◽  
Vol 1116 ◽  
pp. 022002 ◽  
Author(s):  
Afriadi ◽  
Yulia Zahara ◽  
Vera Halfiani ◽  
Harish Abdillah Mardi ◽  
Marwan Ramli
Keyword(s):  
Analytical Solution ◽  
Vries Equation ◽  
De Vries ◽  
Fifth Order

Asymptotics of solutions to a fifth-order modified Korteweg–de Vries equation in the quarter plane

2020 ◽  
pp. 1-46
Author(s):  
Nan Liu ◽  
Boling Guo
Keyword(s):  
Large Time ◽  
Vries Equation ◽  
Large Time Behavior ◽  
Descent Method ◽  
Steepest Descent Method ◽  
Time Behavior ◽  
Transform Method ◽  
Quarter Plane ◽  
De Vries ◽  
Fifth Order

The large-time behavior of solutions to a fifth-order modified Korteweg–de Vries equation in the quarter plane is established. Our approach uses the unified transform method of Fokas and the nonlinear steepest descent method of Deift and Zhou.

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