کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
759300 896471 2012 7 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Periodic wave solutions of coupled integrable dispersionless equations by residue harmonic balance
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی مکانیک
پیش نمایش صفحه اول مقاله
Periodic wave solutions of coupled integrable dispersionless equations by residue harmonic balance
چکیده انگلیسی

We introduce the residue harmonic balance method to generate periodic solutions for nonlinear evolution equations. A PDE is firstly transformed into an associated ODE by a wave transformation. The higher-order approximations to the angular frequency and periodic solution of the ODE are obtained analytically. To improve the accuracy of approximate solutions, the unbalanced residues appearing in harmonic balance procedure are iteratively considered by introducing an order parameter to keep track of the various orders of approximations and by solving linear equations. Finally, the periodic solutions of PDEs result. The proposed method has the advantage that the periodic solutions are represented by Fourier functions rather than the sophisticated implicit functions as appearing in most methods.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Communications in Nonlinear Science and Numerical Simulation - Volume 17, Issue 11, November 2012, Pages 4508–4514
نویسندگان
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