Periodic-like solutions of variable coefficient and Wick-type stochastic NLS equations

Explicit exact solutions for variable coefficient Broer-Kaup equations

Based on symbolic manipulation program Maple and using Riccati equation mapping method several explicit exact solutions including kink, soliton-like, periodic and rational solutions are obtained for (2+1)-dimensional variable coefficient Broer-Kaup system in quite a straightforward manner. The known solutions of Riccati equation are used to construct new solutions for variable coefficient Broer...

Soliton Solutions for the Wick-Type Stochastic KP Equation

and Applied Analysis 3 S n1 . S n −1 consisting of all formal expansion X ∑ α bαHα with bα ∈ R such that ‖X‖−1,−q ∑ α b 2 α 2N −qα < ∞ for some q ∈ N, by the action 〈X, x〉 α bα, cα α! and bα, cα is the usual inner product in R. X♦Y α,β aα, bβ Hα β is called the Wick product of X and Y , for X ∑ α aαHα, Y ∑ α bαHα ∈ S n−1 with aα, bα ∈ R. We can prove that the spaces S R , S R ∗ S n1 , and S n−1...

EXISTENCE OF PERIODIC SOLUTIONS IN TOTALLY NONLINEAR NEUTRAL DIFFERANCE EQUATIONS WITH VARIABLE DELAY

Periodic Wave Shock solutions of Burgers equations

In this paper we investigate the exact peroidic wave shock solutions of the Burgers equations. Our purpose is to describe the asymptotic behavior of the solution in the cauchy problem for viscid equation with small parametr ε and to discuss in particular the case of periodic wave shock. We show that the solution of this problem approaches the shock type solution for the cauchy problem of the in...

explicit exact solutions for variable coefficient broer-kaup equations

based on symbolic manipulation program maple and using riccati equation mapping method several explicit exact solutions including kink, soliton-like, periodic and rational solutions are obtained for (2+1)-dimensional variable coefficient broer--kaup system in quite a straightforward manner. the known solutions of riccati equation are used to construct new solutions for variable coefficient broe...