Dynamics of strongly interacting kink-antikink pairs for scalar fields on a line

Author:

Jendrej Jacek1,Kowalczyk Michał2,Lawrie Andrew3

Affiliation:

1. CNRS & LAGA (UMR 7539 CNRS), Université Paris 13 – Sorbonne Paris Cité, Université Paris 8, Villetaneuse, France

2. Departamento de Ingeniería Matemática and Centro de Modelamiento Matemático (UMI 2807 CNRS), Universidad de Chile, Santiago, Chile

3. Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts, USA

Publisher

Duke University Press

Subject

General Mathematics

Reference39 articles.

1. V. BUSLAEV and G. PERELMAN, Scattering for the nonlinear Schrödinger equation: States that are close to a soliton, Algebra i Analiz 4 (1992), no. 6, 63–102.

2. D. K. CAMPBELL, “Historical overview of the ϕ4model” in A Dynamical Perspective on the ϕ4 Model, Nonlinear Syst. Complex. 26, Springer, Cham, 2019, 1–22.

3. S.-N. CHOW and J. K. HALE, Methods of Bifurcation Theory, Grundlehren Math. Wiss. 251, Springer, Berlin, 1982.

4. R. CÔTE, C. KENIG, A. LAWRIE, and W. SCHLAG, Characterization of large energy solutions of the equivariant wave map problem, I, Amer. J. Math. 137 (2015), no. 1, 139–207.

5. R. CÔTE, Y. MARTEL, and F. MERLE, Construction of multi-soliton solutions for the L2-supercritical gKdV and NLS equations, Rev. Mat. Iberoam. 27 (2011), no. 1, 273–302.

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