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Published in 2020 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2020.124406
Abstract: Abstract In this article, we study an initial-boundary-value problem of the sixth order Boussinesq equation on a half line with nonhomogeneous boundary conditions: { u t t − u x x + β u x…
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Keywords:
boussinesq equation;
boundary value;
order boussinesq;
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Published in 2019 at "Nonlinear Analysis: Real World Applications"
DOI: 10.1016/j.nonrwa.2018.11.012
Abstract: Abstract This paper studies the initial and boundary value problem for the higher order Boussinesq equation. The existence of a local and global solution are proved. The sufficient conditions for finite time blow-up solutions are…
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Keywords:
value problem;
initial boundary;
order boussinesq;
boundary value ... See more keywords
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Published in 2019 at "Physica D: Nonlinear Phenomena"
DOI: 10.1016/j.physd.2018.09.006
Abstract: Abstract This article is concerned with an initial–boundary-value problem (IBVP) for the sixth order Boussinesq equation on a bounded domain with non-homogeneous boundary conditions, (1) u t t − u x x + β u…
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Keywords:
sixth order;
non homogeneous;
bounded domain;
boussinesq equation ... See more keywords
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Published in 2021 at "Advances in Mathematical Physics"
DOI: 10.1155/2021/6687632
Abstract: The Painleve integrability of the higher-order Boussinesq equation is proved by using the standard Weiss-Tabor-Carnevale (WTC) method. The multisoliton solutions of the higher-order Boussinesq equation are obtained by introducing dependent variable transformation. The soliton molecule…
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Keywords:
order boussinesq;
boussinesq equation;
soliton;
higher order ... See more keywords