Growth of heat trace and heat content asymptotic coefficients [PDF]
arXiv, 2011 We show in the smooth category that the heat trace asymptotics and the heat content asymptotics can be made to grow arbitrarily rapidly. In the real analytic context, however, this is not true and we establish universal bounds on their growth.
arxiv
Eigenfunctions for rectangles with Neumann boundary conditions [PDF]
arXiv, 2013 Consider the eigenfunctions $u$ for a ree rectangular membrane wo that $-\Delta u=\lambda u$ on $\mathcal R(c,d)=(0,d)\times(0,d)$. In this note we show that if if $u>0$ on $\partial \mathcal R(c,d)) then $u\equiv C$ for some positive constant.
arxiv
New extended (G'/G)-expansion method to solve nonlinear evolution equation: the (3 + 1)-dimensional potential-YTSF equation. [PDF]
Springerplus, 2014 Roshid HO +4 more
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Investigation of Solitary wave solutions for Vakhnenko-Parkes equation via exp-function and Exp(-ϕ(ξ))-expansion method. [PDF]
Springerplus, 2014 Roshid HO +3 more
europepmc +1 more source
Exact traveling wave solutions for system of nonlinear evolution equations. [PDF]
Springerplus, 2016 Khan K, Akbar MA, Arnous AH.
europepmc +1 more source
Exact traveling wave solutions of the KP-BBM equation by using the new approach of generalized (G'/G)-expansion method. [PDF]
Springerplus, 2013 Alam MN, Akbar MA.
europepmc +1 more source
On a two-phase size-structured population model with infinite states-at-birth and distributed delay in birth process. [PDF]
J Biol Dyn, 2014 Bai M, Xu S.
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INTERPOLATED SUBSPACES OF EXPONENTIAL VECTORS OF THE UNBOUNDED OPERATORS IN BANACH SPACES
, 2004 M. Dmytryshyn, O. Lopushansky
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Solitons and Other Solutions for the Generalized KdV–mKdV Equation with Higher-order Nonlinear Terms
, 2016The generalized sub-ODE method, the rational (G′/G)-expansion method, the exp-function method and the sine-cosine method are applied for constructing many traveling wave solutions of nonlinear partial differential equations (PDEs).
E. Zayed, A. Al-Nowehy
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