Positon and positon-like solutions of the Korteweg-de Vries and sine-Gordon equations.

DOI10.1016/0960-0779(94)E0097-9zbMath1080.35536OpenAlexW1989770555MaRDI QIDQ812263

N. E. Zubov

Publication date: 16 February 2006

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0960-0779(94)e0097-9

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53)

Related Items (11)

Dynamics of the Smooth Positons of the Wadati-Konno-Ichikawa Equation* ⋮ Bäcklund transformations and soliton solutions for a \((2+1)\)-dimensional Korteweg-de Vries-type equation in water waves ⋮ The long wave limiting of the discrete nonlinear evolution equations ⋮ Higher-order smooth positons and breather positons of Sine-Gordon equation ⋮ The dynamics of the smooth positon and b-positon solutions for the NLS-MB equations ⋮ Degeneration of breathers in the Kadomttsev-Petviashvili I equation ⋮ A new representation of \(N\)-soliton solution and limiting solutions for the fifth order KdV equation ⋮ The Landau-Lifshitz equation, the NLS, and the magnetic rogue wave as a by-product of two colliding regular ``positons ⋮ Investigation on a nonisospectral fifth-order Korteweg-de Vries equation generalized from fluids ⋮ Darboux transformation and Rogue waves of the Kundu-nonlinear Schrödinger equation ⋮ Soliton solution of some nonlinear partial differential equations and its applications in fluid mechanics

Cites Work

• Positons: Slowly decreasing analogues of solitons
• Positon solutions of the sine-Gordon equation
• Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
• Positons of the modified Korteweg de Vries equation
• Korteweg‐devries equation and generalizations. VI. methods for exact solution
• The inverse scattering transform: Semi-infinite interval

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