In this article, a generalized (3 + 1)-dimensional nonlinear evolution equation (NLEE), which can be obtained by multivariate polynomial, is investigated. Based on the Hirota bilinear method, N-soliton solution and Bäcklund transformation (BBT) with explicit formulas are successfully constructed. By using BBT, two traveling wave solutions mixed of NLEE obtained. Furthermore, lump interaction fo...

The nonlocal symmetry of the new (3+1)-dimensional Boussinesq equation is obtained with truncated Painlevé method. can be localized to Lie point for prolonged system by introducing auxiliary dependent variables. finite transformation related integrable studied. Meanwhile, proved consistent tanh expansion method and many interaction solutions among solitons other types nonlinear excitations such...

In this article, we consider a special case of Metric-Affine f(R)-gravity for f(R) = R, i.e. the General Relativity (MAGR). As companion to first article in series, perform (3+1) decomposition hypermomentum equation, obtained from minimization MAGR action S [g, {\omega}] with respect connection {\omega}. Moreover, show that tensor H could be constructed completely 10 hypersurfaces variables ari...

New wave excitations are revealed for a (3 + 1)-dimensional nonlinear evolution equation to enrich patterns in systems. Based on new variable separation solution with two arbitrary separated functions obtained by means of the multilinear approach, localized N dromions, $$N\times M$$ lump lattice and ring soliton constructed. In addition, it is observed that molecules can be composed diverse “at...