scholarly journals Random tensors, propagation of randomness, and nonlinear dispersive equations

2021 ◽  
Author(s):  
Yu Deng ◽  
Andrea R. Nahmod ◽  
Haitian Yue
Keyword(s):  
Dispersive Equations ◽  
Nonlinear Dispersive Equations

On some applications of transformation groups to a class of nonlinear dispersive equations

2012 ◽  
Vol 13 (3) ◽  
pp. 1139-1151 ◽  
Author(s):  
M.S. Bruzón ◽  
M.L. Gandarias ◽  
M. Torrisi ◽  
R. Tracinà
Keyword(s):  
Transformation Groups ◽  
Dispersive Equations ◽  
Nonlinear Dispersive Equations

HPM AND VIM METHODS FOR FINDING THE EXACT SOLUTIONS OF THE NONLINEAR DISPERSIVE EQUATIONS AND SEVENTH-ORDER SAWADA–KOTERA EQUATION

2009 ◽  
Vol 23 (01) ◽  
pp. 39-52 ◽  
Author(s):  
D. D. GANJI ◽  
N. JAMSHIDI ◽  
Z. Z. GANJI
Keyword(s):  
Iteration Method ◽  
Decomposition Method ◽  
Homotopy Perturbation Method ◽  
Adomian Decomposition Method ◽  
Variational Iteration Method ◽  
Dispersive Equations ◽  
Nonlinear Dispersive Equations ◽  
Homotopy Perturbation ◽  
Adomian Decomposition ◽  
Seventh Order

In this paper, nonlinear dispersive equations and seventh-order Sawada–Kotera equation are solved using homotopy perturbation method (HPM) and variational iteration method (VIM). The results obtained by the proposed methods are then compared with that of Adomian decomposition method (ADM). The comparisons demonstrate that the two obtained solutions are in excellent agreement. The numerical results calculated show that the methods can be accurately implemented to these types of nonlinear equations. The results of HPM and VIM confirm the correctness of those obtained by Adomian decomposition method.

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