کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1707750 1519468 2015 6 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Lax pair, auto-Bäcklund transformation and conservation law for a generalized variable-coefficient KdV equation with external-force term
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مکانیک محاسباتی
پیش نمایش صفحه اول مقاله
Lax pair, auto-Bäcklund transformation and conservation law for a generalized variable-coefficient KdV equation with external-force term
چکیده انگلیسی

A generalized variable-coefficient KdV equation with perturbed and external-force terms is investigated in this Letter. Lax pair, Riccati-type auto-Bäcklund transformation and Wahlquist–Estabrook-type auto-Bäcklund transformation (WE–BT) are constructed. Based on the WE–BT, the nonlinear superposition formula is obtained and an infinite number of conservation laws are derived recursively, then the analytic solutions are provided including periodic, one-soliton-like and two-soliton-like solutions with inhomogeneous coefficients, external-force term and eigenvalue.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics Letters - Volume 45, July 2015, Pages 58–63
نویسندگان
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