Evolution of pattern formation under ion bombardment of substrate

DOI10.1016/j.physleta.2013.01.007zbMath1428.35092OpenAlexW2039674203MaRDI QIDQ2283951

Nikolay A. Kudryashov, Alexandr A. Kutukov, Timofey E. Fedyanin, Pavel N. Ryabov

Publication date: 13 January 2020

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2013.01.007

zbMATH Keywords

exact solutionpattern formationself-organizationKudryashov methodion beam bombardment

Mathematics Subject Classification ID

Nonlinear higher-order PDEs (35G20) Solutions to PDEs in closed form (35C05) Traveling wave solutions (35C07)

Related Items (6)

Soliton wave solutions for the nonlinear transmission line using the kudryashov method and the \((G'/G)\)-expansion method ⋮ Exact solutions of one pattern formation model ⋮ Travelling wave solutions and soliton solutions for the nonlinear transmission line using the generalized Riccati equation mapping method ⋮ Clout of fractional time order and magnetic coupling coefficients on the soliton and modulation instability gain in the Heisenberg ferromagnetic spin chain ⋮ Analytical and numerical solutions of the generalized dispersive Swift-Hohenberg equation ⋮ A simple and robust boundary treatment for the forced Korteweg-de Vries equation

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• The Jacobi elliptic-function method for finding periodic-wave solutions to nonlinear evolution equations

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