Abundant Solutions and Superposition Behavior Analysis of a (3+1)‐Dimensional Boiti–Leon–Manna–Pempinelli Equation
Sign Up to like & getrecommendations! Published in 2025 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.11108
Abstract: By employing the Hirota bilinear (HB) method and starting from the solution with arbitrary functions, we independently analyze the relationship between abundant wave behavior and the superposition formulas of solutions for a (3+1)‐dimensional Boiti–Leon–Manna–Pempinelli (BLMP)… read more here.
Keywords: equation; solution; boiti leon; superposition ... See more keywords
Exploration of nonclassical symmetries and exact solutions to the (4+1)-dimensional Boiti–Leon–Manna–Pempinelli equation
Sign Up to like & getrecommendations! Published in 2025 at "Scientific Reports"
DOI: 10.1038/s41598-025-20839-4
Abstract: This paper presents a complete nonclassical symmetry analysis of the nonlinear integrable model known as the (4 + 1)-dimensional Boiti–Leon–Manna–Pempinelli (4D-BLMP) equation. The analysis is divided into two parts. The first part involves constructing systems… read more here.
Keywords: equation; nonclassical symmetries; boiti leon; manna pempinelli ... See more keywords
Numerical analysis of the (2+1)-dimensional Boiti-Leon-Pempinelli equation
Sign Up to like & getrecommendations! Published in 2017 at "Thermal Science"
DOI: 10.2298/tsci160715050l
Abstract: The (2+1)-dimensional Boiti-Leon-Pempinelli equation is studied by the modified variational iteration method. The numerical solutions to its initial value problem are provided and compared with the exact soliton solutions. The present theory offers an in-depth… read more here.
Keywords: leon pempinelli; pempinelli equation; dimensional boiti; boiti leon ... See more keywords
Multilinear Variable Separation Approach in (4+1)-Dimensional Boiti-Leon-Manna-Pempinelli Equation
Sign Up to like & getrecommendations! Published in 2024 at "Symmetry"
DOI: 10.3390/sym16111529
Abstract: In this paper, we use the multilinear variable separation approach involving two arbitrary variable separation functions to construct a new variable separation solution of the (4+1)-dimensional Boiti–Leon–Manna–Pempinelli equation. Through considering different parameters, three types of… read more here.
Keywords: separation; multilinear variable; separation approach; boiti leon ... See more keywords