کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9877485 | 1534075 | 2005 | 11 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Separation of variables for the nonlinear wave equation in cylindrical coordinates
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Separation of variables for the nonlinear wave equation in cylindrical coordinates Separation of variables for the nonlinear wave equation in cylindrical coordinates](/preview/png/9877485.png)
چکیده انگلیسی
Some classical types of nonlinear wave motion in cylindrical coordinates are studied within the quadratic approximation. When cylindrical coordinates are used, the usual perturbation techniques inevitably lead to overdetermined systems of linear algebraic equations for the unknown coefficients (in contrast to the case for Cartesian coordinates). However, we show that these overdetermined systems are compatible for the special case of the nonlinear acoustic wave equation and express the coefficients of the first two harmonics explicitly as polynomials in Bessel functions of the radius and in trigonometric functions of the angle. This gives a series of solutions to the nonlinear acoustic wave equation which are found with the same accuracy as the equation is derived with.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica D: Nonlinear Phenomena - Volume 212, Issues 3â4, 15 December 2005, Pages 205-215
Journal: Physica D: Nonlinear Phenomena - Volume 212, Issues 3â4, 15 December 2005, Pages 205-215
نویسندگان
Alexander Shermenev,