کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
758045 | 1462613 | 2016 | 9 صفحه PDF | دانلود رایگان |

• A nonlinear self-adjoint classification with differential substitutions of a general class of third order evolution equations is carried out.
• Several sub-families of nonlinearly self-adjoint equations are obtained, some of them admitting differential substitutions.
• Conservation laws are established via differential substitutions.
In this paper we carry out a nonlinear self-adjoint classification with differential substitutions of a class of dispersive equations with three arbitrary functions. As a particular case, we obtain the sub families of the C1(m,a+b)C1(m,a+b) equations which are nonlinearly self-adjoint. Conservation laws for these last families are established using the techniques for finding conserved vectors proposed by Ibragimov.
Journal: Communications in Nonlinear Science and Numerical Simulation - Volume 32, March 2016, Pages 225–233