Topic
Asymptotology
About: Asymptotology is a research topic. Over the lifetime, 1319 publications have been published within this topic receiving 35831 citations.
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TL;DR: In this article, asymptotic "soliton train" solutions of integrable wave equations described by inverse scattering transform method with second-order scalar eigenvalue problem are considered.
8 citations
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TL;DR: For the perturbed nonlinear Klein-Gordon equation, this paper constructed an asymptotic solution by using Ateb-functions for both autonomous and non-autonomous cases.
Abstract: For the perturbed nonlinear Klein-Gordon equation, we construct an asymptotic solution by using Ateb-functions. We consider autonomous and nonautonomous cases.
8 citations
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8 citations
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TL;DR: In this paper, the existence and uniqueness theorem of the Riccati difference equation on the infinite index set was proved under natural assumptions, and the existence of the asymptotic expansion of the solution and computability of its coefficients were shown.
Abstract: Matrix Riccati difference equations are investigated on the infinite index set. Under natural assumptions an existence and uniqueness theorem is proven. The existence of the asymptotic expansion of the solution and computability of its coefficients are shown, provided the coefficients of the equation have such an expansion.
8 citations