Approximate symmetry reduction to the perturbed coupled KdV equations derived from two-layer fluids

DOI10.1186/2251-7456-6-13zbMath1264.35197OpenAlexW2156715692WikidataQ59289920 ScholiaQ59289920MaRDI QIDQ1953773

Suping Qian, Xin Li

Publication date: 10 June 2013

Published in: Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/2251-7456-6-13

zbMATH Keywords

coupled KdV equationsapproximate symmetry reductionseries reduction solutions

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) KdV equations (Korteweg-de Vries equations) (35Q53) Series solutions to PDEs (35C10) Theoretical approximation in context of PDEs (35A35) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (1)

Invariant solutions for a class of perturbed nonlinear wave equations

Cites Work

• Unnamed Item
• A class of coupled nonlinear Schrödinger equations: Painlevé property, exact solutions, and application to atmospheric gravity waves
• Pulse evolution for Marangoni-Bénard convection.
• Approximate Similarity Reduction for Perturbed Kaup—Kupershmidt Equation via Lie Symmetry Method and Direct Method
• Coupled KdV equations derived from two-layer fluids
• On approximate symmetry and approximate solutions of the nonlinear wave equation with a small parameter
• The tanh method: II. Perturbation technique for conservative systems

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