Nonlinear wave propagation in micropolar media. II: Special cases, solitary waves and Painlevé analysis

DOI10.1016/0020-7225(89)90032-3zbMath0694.73007OpenAlexW2065130603MaRDI QIDQ909507

N. E. Zubov

Publication date: 1989

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7225(89)90032-3

zbMATH Keywords

complete integrabilitycomplex modified Korteweg-de Vries equationfar-field behaviourquadratic solidsingular manifold (Painlevé) analysisSolitary wave type solutions

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Vibrations in dynamical problems in solid mechanics (74H45) Wave scattering in solid mechanics (74J20) Polar materials (74A35) Partial differential equations of mathematical physics and other areas of application (35Q99) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (11)

Conservative finite volume element schemes for the complex modified Korteweg-de Vries equation ⋮ One-dimensional waves in a thermoelastic half-space without energy dissipation ⋮ Dynamics of the smooth positons of the complex modified KdV equation ⋮ The complex MKDV equation with step-like initial data: Large time asymptotic analysis ⋮ Numerical solutions and stability analysis for solitary waves of complex modified Korteweg–de Vries equation using Chebyshev pseudospectral methods ⋮ Analytical and numerical studies on dynamic of complexiton solution for complex nonlinear dispersive model ⋮ A split-step Fourier method for the complex modified Korteweg-de Vries equation. ⋮ Classification of certain integrable coupled potential KdV and modified KdV-type equations ⋮ Nonlinear wave modulation in micropolar elastic media. I: Longitudinal waves ⋮ Deformed solitons of a typical set of (2+1)-dimensional complex modified Korteweg-de Vries equations ⋮ LINEARLY IMPLICIT ENERGY-PRESERVING FOURIER PSEUDOSPECTRAL SCHEMES FOR THE COMPLEX MODIFIED KORTEWEG–DE VRIES EQUATION

Cites Work

• Nonlinear wave propagation in micropolar media. I: The general theory
• Nonlinear theory of simple micro-elastic solids. I
• The Painlevé property for partial differential equations
• A connection between nonlinear evolution equations and ordinary differential equations of P-type. I
• The inverse scattering transform: Semi-infinite interval
• Unnamed Item

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