• Corpus ID: 235294080

On existence and uniqueness of asymptotic $N$-soliton-like solutions of the nonlinear klein-gordon equation

@inproceedings{Friederich2021OnEA,
  title={On existence and uniqueness of asymptotic \$N\$-soliton-like solutions of the nonlinear klein-gordon equation},
  author={Xavier Friederich},
  year={2021}
}
We are interested in solutions of the nonlinear Klein-Gordon equation (NLKG) in R1+3, 3 ≥ 1, which behave as a soliton or a sum of solitons in large time. In the spirit of other articles focusing on the supercritical generalized Korteweg-de Vries equations and on the nonlinear Schrödinger equations, we obtain an # -parameter family of solutions of (NLKG) which converges exponentially fast to a sum of # given (unstable) solitons. For # = 1, this family completely describes the set of solutions… 

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