in this paper, we obtained the 1-soliton solutions of the symmetric regularized long wave (srlw) equation and the (3+1)-dimensional shallow water wave equations. solitary wave ansatz method is used to carry out the integration of the equations and obtain topological soliton solutions the physical parameters in the soliton solutions are obtained as functions of the dependent coefficients. note t...

The D dimensional quasi exact solutions for the singular even power anharmonic potential V (q) = aq2 + bq−4 + cq−6 are reported. We show that whilst Dong and Ma’s [5] quasi exact ground state solution (in D=2) is beyond doubt, their solution for the first excited state is exotic. Quasi exact solutions for the ground and first excited states are also given for the above potential confined to an ...

The D dimensional quasi exact solutions for the singular even power anharmonic potential V (q) = aq2 + bq−4 + cq−6 are reported. We show that whilst Dong and Ma’s [5] quasi exact ground state solution (in D=2) is beyond doubt, their solution for the first excited state is exotic. Quasi exact solutions for the ground and first excited states are also given for the above potential confined to an ...

It is shown that a recent article by Z.-D. Zhang is in error and violates well-known theorems. After receiving an electronic reprint of Zhang's recent paper [1], I have had an email exchange with the author pointing out a number of errors in the paper, which unfortunately invalidate all its main results. As now also a follow-up preprint [2] has appeared using Zhang's erroneous results, I feel c...