The second-order KdV equation and its soliton-like solution
This paper presents both the theoretical and numerical explanations for the existence of a
two-soliton solution for a second-order Korteweg-de Vries (KdV) equation. Our results show
that there exists" quasi-soliton" solutions for the equation in which solitary waves almost
retain their identities in a suitable physical regime after they interact, and bear a close
resemblance to the pure KdV solitons.
two-soliton solution for a second-order Korteweg-de Vries (KdV) equation. Our results show
that there exists" quasi-soliton" solutions for the equation in which solitary waves almost
retain their identities in a suitable physical regime after they interact, and bear a close
resemblance to the pure KdV solitons.
This paper presents both the theoretical and numerical explanations for the existence of a two-soliton solution for a second-order Korteweg-de Vries (KdV) equation. Our results show that there exists "quasi-soliton" solutions for the equation in which solitary waves almost retain their identities in a suitable physical regime after they interact, and bear a close resemblance to the pure KdV solitons.
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