Abundant Mixed Lump-Soliton Solutions to the BKP Equation

Abstract

Applying Maple symbolic computations, we derive eight sets of mixed lumpsoliton solutions to the (2 + 1)-dimensional BKP equation. The solutions are analytic and allow the separation of lumps and line solitons.

Exact Solutions to a Generalized Bogoyavlensky‐Konopelchenko Equation via Maple Symbolic Computations

“…The obtained result enriches the existing studies on the (2+1)-dimensional Bogoyavlensky-Konopelchenko equation [19][20][21][22]. We remark that there are plenty of interaction solutions to integrable equations (see, e.g., [31]), particularly between lumps and other kinds of exact solutions to (2+1)dimensional nonlinear integrable equations (see, e.g., [32][33][34][35] for lump-kink interaction solutions and [36][37][38][39] for lumpsoliton interaction solutions).…”

Complex Soliton Solutions to the Gilson–Pickering Model

“…Ma et al have presented the BSEFM in a detailed manner and used it to find explicit and exact solutions to a Kolmogorov-Petrovskii-Piskunov equation in [47]. Similarly, many different solutions, such as complex, Lump, and mixed Lump-soliton solutions to the various models such as generalized Hirota-Satsuma-Ito, BKP and (2+1)-dimensional Ito equations have been obtained in [48][49][50]. We apply BSEFM to the GPE to find new contour simulations along with new solutions in Section 3.…”

Optimal solutions of a (3 + 1)‐dimensional B‐Kadomtsev‐Petviashvii equation

“…[4][5][6][7][8][9][10][11][12] Here, we focus to the approaches that have been applied to explore new types of soliton solutions for the integrable BKP equation. As in previous works, 13,14 the authors investigated lump solutions for (2 + 1) BKP through the Hirota bilinear method that depend on the substitution of linear combination between quadratic function and exponential function in to the bilinear equation of BKP. Simple form of Hirota's method has been applied to Equation (1) to explore multisoliton solutions in Wazwaz.…”