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. 2018 Mar 5;376(2117):20170183. doi: 10.1098/rsta.2017.0183

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© 2018 The Author(s)

Published by the Royal Society. All rights reserved.

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Figure 4. — (a) Numerically obtained evolution of the U₁-component to a stable pinned 1-pulse solution for (3.12) with the system parameters as in Example 3, that is, , G₁(U₂)=U₂+1, G₂(U₁)=U₁+2, (3.21) and ε=0.1. (b) We observe excellent agreement between the numerical obtained profiles of both the U₁-component and the U₂-component at t=100 (solid black curved) and the predicted asymptotic profiles (coloured dotted curves). (Online version in colour.)

Inline graphic — (a) Numerically obtained evolution of the U₁-component to a stable pinned 1-pulse solution for (3.12) with the system parameters as in Example 3, that is, , G₁(U₂)=U₂+1, G₂(U₁)=U₁+2, (3.21) and ε=0.1. (b) We observe excellent agreement between the numerical obtained profiles of both the U₁-component and the U₂-component at t=100 (solid black curved) and the predicted asymptotic profiles (coloured dotted curves). (Online version in colour.)