The Convexity of a Planar Domain Via Properties of Solutions to the Modified Helmholtz Equation
Sign Up to like & getrecommendations! Published in 2024 at "Journal of Mathematical Sciences"
DOI: 10.1007/s10958-024-07137-6
Abstract: A new characterization of convexity of a planar domain is obtained. Its derivation involves two classical facts: the Varadhan formula expressing the distance function with respect to the boundary of a domain in terms of… read more here.
Keywords: modified helmholtz; solutions modified; planar domain; convexity planar ... See more keywords
New analytical solutions for modified polarization saturation models in piezoelectric materials
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DOI: 10.1007/s11012-019-01084-2
Abstract: In this paper, we present new analytical solutions for modified polarization saturation (PS) models for arbitrary polarized and semipermeable 2-D piezoelectric media. The PS model is modified to various other non-linear fracture models by varying… read more here.
Keywords: electric displacement; solutions modified; analytical solutions; new analytical ... See more keywords
On the soliton solutions to the modified Benjamin-Bona-Mahony and coupled Drinfel’d-Sokolov-Wilson models and its applications
Sign Up to like & getrecommendations! Published in 2020 at "Journal of King Saud University - Science"
DOI: 10.1016/j.jksus.2018.03.019
Abstract: Abstract In this article, the analytical solutions for modified Benjamin-Bona-Mahony and coupled Drinfel’d-Sokolov-Wilson equations have been extracted with the help of very simple transformation. These results hold numerous traveling wave solutions that are of key… read more here.
Keywords: bona mahony; solutions modified; benjamin bona; coupled drinfel ... See more keywords
The effects of the singular lines on the traveling wave solutions of modified dispersive water wave equations
Sign Up to like & getrecommendations! Published in 2019 at "Nonlinear Analysis: Real World Applications"
DOI: 10.1016/j.nonrwa.2018.10.012
Abstract: Abstract In this paper, the bounded traveling wave solutions of the modified water wave equations of which one dependent variable attains the singular value 2 c in finite or infinite time are investigated by using… read more here.
Keywords: water wave; solutions modified; traveling wave; wave solutions ... See more keywords
Some specific wormhole solutions in f(R)-modified gravity theory
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DOI: 10.1142/s0217732321500243
Abstract: The paper deals with the static spherically symmetric wormhole solutions in f(R)-modified gravity theory with anisotropic matter field and for some particular choices for the shape functions. This ... read more here.
Keywords: wormhole solutions; modified gravity; solutions modified; gravity theory ... See more keywords
New types of the traveling wave and numerical solutions for the modified (3+1)-dimensional Sakovich equation
Sign Up to like & getrecommendations! Published in 2025 at "Modern Physics Letters A"
DOI: 10.1142/s0217732325501913
Abstract: In our current paper, we will construct new types of traveling wave solutions to the modified ([Formula: see text])-dimensional Sakovich Equation, which is one of the integrable nonlinear equations. The suggested model will contribute to… read more here.
Keywords: new types; solutions modified; dimensional sakovich; traveling wave ... See more keywords
Existence and blowup of solutions for the modified Klein-Gordon-Zakharov equations for plasmas with a quantum correction
Sign Up to like & getrecommendations! Published in 2017 at "Advances in Difference Equations"
DOI: 10.1186/s13662-017-1357-1
Abstract: This paper studies the existence and blowup of solutions for the modified Klein-Gordon-Zakharov equations for plasmas with a quantum correction, which describe the interaction between high frequency Langmuir waves and low frequency ion-acoustic waves in… read more here.
Keywords: solutions modified; blowup solutions; modified klein; klein gordon ... See more keywords