Linear superposition for a class of nonlinear equations
نویسندگان
چکیده
منابع مشابه
Linear superposition in nonlinear equations.
Several nonlinear systems such as the Korteweg-de Vries (KdV) and modified KdV equations and lambda phi(4) theory possess periodic traveling wave solutions involving Jacobi elliptic functions. We show that suitable linear combinations of these known periodic solutions yield many additional solutions with different periods and velocities. This linear superposition procedure works by virtue of so...
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ژورنال
عنوان ژورنال: Physics Letters A
سال: 2013
ISSN: 0375-9601
DOI: 10.1016/j.physleta.2013.08.015