Abundant Solutions and Superposition Behavior Analysis of a (3+1)‐Dimensional Boiti–Leon–Manna–Pempinelli Equation
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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
Nonlinear localized waves resonance and interaction solutions of the (3 + 1)-dimensional Boiti–Leon–Manna–Pempinelli equation
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DOI: 10.1007/s11071-020-05573-y
Abstract: This paper deals with localized waves in the (3+1)-dimensional Boiti–Leon–Manna–Pempinelli equation in the incompressible fluid. Based on Hirota’s bilinear method, N -soliton solutions related to Boiti–Leon–Manna–Pempinelli equation are constructed. Novel nonlinear wave phenomena are obtained… read more here.
Keywords: manna pempinelli; pempinelli equation; leon manna; boiti leon ... See more keywords
Exploration of nonclassical symmetries and exact solutions to the (4+1)-dimensional Boiti–Leon–Manna–Pempinelli equation
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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
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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
Abundant Solitary Wave Solutions for the Boiti–Leon–Manna–Pempinelli Equation with M-Truncated Derivative
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DOI: 10.3390/axioms12050466
Abstract: In this work, we consider the Boiti–Leon–Manna–Pempinelli equation with the M-truncated derivative (BLMPE-MTD). Our aim here is to obtain trigonometric, rational and hyperbolic solutions of BLMPE-MTD by employing two diverse methods, namely, He’s semi-inverse method… read more here.
Keywords: leon manna; boiti leon; pempinelli equation; truncated derivative ... See more keywords
Transformation Properties of a Class of Variable Coefficient Boiti-Leon-Manna-Pempinelli Equations
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DOI: 10.3390/axioms13020082
Abstract: We derive the enhanced Lie group classification for a general class of variable coefficient Boiti–Leon–Manna–Pempinelli equations. This task is achieved with the use of the equivalence group admitted by the class. Using the admitted equivalence… read more here.
Keywords: class variable; variable coefficient; boiti leon; class ... See more keywords
On the Dynamics of Solitary Waves to a (3+1)-Dimensional Stochastic Boiti–Leon–Manna–Pempinelli Model in Incompressible Fluid
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DOI: 10.3390/math11102390
Abstract: We take into account the stochastic Boiti–Leon–Manna–Pempinelli equation (SBLMPE), which is perturbed by a multiplicative Brownian motion. By applying He’s semi-inverse method and the Riccati equation mapping method, we can acquire the solutions of the… read more here.
Keywords: leon manna; boiti leon; manna pempinelli;
Multilinear Variable Separation Approach in (4+1)-Dimensional Boiti-Leon-Manna-Pempinelli Equation
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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