Analytical and numerical methods for the CMKdV-II equation

DOI10.1155/2009/935030zbMath1185.35215OpenAlexW1986639616WikidataQ58649560 ScholiaQ58649560MaRDI QIDQ1036504

Ersin Özuğurlu, Ömer Akın

Publication date: 13 November 2009

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2009/935030

zbMATH Keywords

soliton solutionsHirota's bilinear formcomplex modified Korteweg-de Vries-II equationfinite difference form

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Soliton solutions (35C08)

Related Items (1)

Numerical solutions and stability analysis for solitary waves of complex modified Korteweg–de Vries equation using Chebyshev pseudospectral methods

Cites Work

• Local spectral time splitting method for first- and second-order partial differential equations
• Nonlinear wave propagation in micropolar media. I: The general theory
• A finite difference method for the Korteweg-de Vries and the Kadomtsev-Petviashvili equations
• A split-step Fourier method for the complex modified Korteweg-de Vries equation.
• Higher-order split-step Fourier schemes for the generalized nonlinear Schrödinger equation
• Korteweg-de Vries equation: a completely integrable Hamiltonian system
• Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
• The Painlevé property for partial differential equations. II: Bäcklund transformation, Lax pairs, and the Schwarzian derivative
• The Painlevé Property and Hirota's Method
• A connection between nonlinear evolution equations and ordinary differential equations of P-type. I
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