首页|Approximate kink-kink solutions for the φ 6 model in the low limit

Approximate kink-kink solutions for the φ 6 model in the low limit

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In this paper, we consider the problem of elasticity and stability of the collision of two kinks with low speed v for the nonlinear wave equation known as the phi 6 model in dimension 1 + 1. We construct a sequence of approximate solutions (phi k(v, t, x))kEN,2 for this model to understand the effects of the collision in the movement of each soliton during a large time interval. The construction uses a new asymptotic method which is not only restricted to the phi 6 model.

Kinksolitonphi(6) modelnon-integrable modelscalar fieldpartial differential equationordinary differential equationcollision

Moutinho, Abdon

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Georgia Tech

2024

Asymptotic analysis

Asymptotic analysis

SCI
ISSN:0921-7134
年,卷(期):2024.140(3/4)
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