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
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
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;