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2009•Modern Physics Letters BRequires access

THE SECOND-ORDER KdV EQUATION AND ITS SOLITON-LIKE SOLUTION

Chun‐Te Lee, Jinn‐Liang Liu, Chun-Che Lee, Yaw-Hong Kang

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Abstract

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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What this paper is about

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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OpenAlex reports 4 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

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.

Key concepts: Korteweg–de Vries equation, Soliton, Order (exchange), Physics, Mathematical physics, Mathematics, Mathematical analysis, Nonlinear system

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