Painlevé Analysis, Soliton Molecule, and Lump Solution of the Higher-Order Boussinesq Equation

The Painlevé integrability of the higher-order Boussinesq equation is proved by using the standard Weiss-Tabor-Carnevale (WTC) method. The multisoliton solutions of the higher-order Boussinesq equation are obtained by introducing dependent variable transformation. The soliton molecule and asymmetric...

Full description

Bibliographic Details
Published in:	Advances in Mathematical Physics
Main Author:	Bo Ren
Format:	Article
Language:	English
Published:	Wiley 2021-01-01
Online Access:	http://dx.doi.org/10.1155/2021/6687632

Similar Items

Characteristics of the Soliton Molecule and Lump Solution in the 2+1-Dimensional Higher-Order Boussinesq Equation
by: Bo Ren
Published: (2021-01-01)

Multi-Soliton, Soliton–Cnoidal, and Lump Wave Solutions for the Supersymmetric Boussinesq Equation
by: Peng-Fei Wei, et al.
Published: (2024-06-01)

Painlevé analysis and Hirota direct method for analyzing three novel physical fluid extended KP, Boussinesq, and KP-Boussinesq equations: Multi-solitons/shocks and lumps
by: Abdul-Majid Wazwaz, et al.
Published: (2024-09-01)

A New Nonlinear Equation with Lump-Soliton, Lump-Periodic, and Lump-Periodic-Soliton Solutions
by: Bo Ren, et al.
Published: (2019-01-01)

Multiple soliton and lump solutions to a variety of novel integrable multi-dimensional Boussinesq-type equations
by: Abdul-Majid Wazwaz, et al.
Published: (2025-06-01)

Soliton solutions, Painleve analysis and conservation laws for a nonlinear evolution equation
by: S.T.R. Rizvi, et al.
Published: (2021-04-01)

Mixed lump–kink solutions and lump–soliton solutions to the generalized BKP equation with some second order terms
by: Qiao Huang, et al.
Published: (2022-06-01)

Construction of lump soliton and mixed lump stripe solutions of (3+1)-dimensional soliton equation
by: Jiangen Liu, et al.
Published: (2018-09-01)

The Painlevé Test and Reducibility to the Canonical Forms for Higher-Dimensional Soliton Equations with Variable-Coefficients
by: Tadashi Kobayashi, et al.
Published: (2006-06-01)

Soliton solution of the generalized modified BBM equation and the generalized Boussinesq equation
by: Ozkan Guner
Published: (2017-12-01)

Soliton solutions of the nonlinear dynamics in the Boussinesq equation with bifurcation analysis and chaos
by: Muhammad Shakeel, et al.
Published: (2025-05-01)

Soliton Solutions of the Coupled Schrödinger-Boussinesq Equations for Kerr Law Nonlinearity
by: Anwar Ja’afar Mohamad Jawad, et al.
Published: (2018-01-01)

Novel Soliton and Wave Solutions for the Dual-Perturbed Integrable Boussinesq Equation
by: Akhtar Hussain, et al.
Published: (2025-01-01)

New Soliton Solutions to the Coupled Conformable Time-Fractional Boussinesq Equation
by: Ahmad Sharif
Published: (2024-12-01)

Painlevé integrability and multiple soliton solutions for the extensions of the (modified) Korteweg-de Vries-type equations with second-order time-derivative
by: Abdul-Majid Wazwaz, et al.
Published: (2024-09-01)

Multiple soliton, M-lump and interaction solutions to the (3+1)-dimensional soliton equation
by: Hajar F. Ismael, et al.
Published: (2023-02-01)

Painlevé analysis and exact solutions of bosonized N = 1 supersymmetric Burgers equation
by: Ren Bo
Published: (2015-05-01)

Extended Symmetry of Higher Painlevé Equations of Even Periodicity and Their Rational Solutions
by: Henrik Aratyn, et al.
Published: (2024-11-01)

Lump solutions to an integrable (3 + 1)-dimensional Boussinesq equation and its dimensionally reduced equations in shallow water
by: Shao-Wen Yao, et al.
Published: (2023-02-01)

Novel complex N-soliton and lump solutions for nonlocal breaking equation
by: Shaofu Wang
Published: (2022-09-01)

M-Breather, Lumps, and Soliton Molecules for the 2+1-Dimensional Elliptic Toda Equation
by: Yuechen Jia, et al.
Published: (2021-01-01)

Soliton structures for the (3 + 1)-dimensional Painlevé integrable equation in fluid mediums
by: Jian-Guo Liu
Published: (2024-05-01)

Lump, lump-periodic, lump-soliton and multi soliton solutions for the potential Kadomtsev-Petviashvili type coupled system with variable coefficients
by: Haiwei Chen, et al.
Published: (2024-11-01)

Lump and kink soliton phenomena of Vakhnenko equation
by: Khudhayr A. Rashedi, et al.
Published: (2024-07-01)

Extraction of soliton solutions and Painlevé test for fractional Peyrard-Bishop DNA model
by: Akram Ghazala, et al.
Published: (2025-07-01)

Boussinesq-Like Equations: A Class of Soliton Solutions Occurs in Coastal and Ocean Engineering
by: Dilara A. Koç, et al.
Published: (2024-01-01)

On meromorphic solutions of the equations related to the first Painlevé equation
by: Elena V. Gromak
Published: (2022-07-01)

Dynamics of mixed lump-soliton solutions to the (3+1)-dimensional Boiti–Leon–Manna–Pempinelli like equation
by: Kai-Zhong Shi, et al.
Published: (2022-06-01)

Classification of Real Solutions of the Fourth Painlevé Equation
by: Jeremy Schiff, et al.
Published: (2024-01-01)

Painlevé analysis, nonlocal symmetry and explicit interaction solutions for supersymmetric mKdVB equation
by: Bo Ren
Published: (2016-08-01)

Soliton dynamics and stability in the Boussinesq equation for shallow water applications
by: Khizar Farooq, et al.
Published: (2025-09-01)

Soliton gas of the integrable Boussinesq equation and its generalised hydrodynamics
by: Thibault Bonnemain, Benjamin Doyon
Published: (2025-02-01)

Travelling Wave Solutions to the Benney-Luke and the Higher-Order Improved Boussinesq Equations of Sobolev Type
by: Ömer Faruk Gözükızıl, et al.
Published: (2012-01-01)

Mixed Lump-Stripe Soliton Solutions to a New Extended Jimbo-Miwa Equation
by: Yinghui He
Published: (2023-01-01)

A Study on Lump and Interaction Solutions to a (3 + 1)-Dimensional Soliton Equation
by: Xi-zhong Liu, et al.
Published: (2019-01-01)

Lump Solutions and Resonance Stripe Solitons to the (2+1)-Dimensional Sawada-Kotera Equation
by: Xian Li, et al.
Published: (2017-01-01)

Power Geometry and Elliptic Expansions of Solutions to the Painlevé Equations
by: Alexander D. Bruno
Published: (2015-01-01)

On the asymptotics of the real solutions to the general sixth Painlevé equation
by: Huizeng Qin, et al.
Published: (2006-01-01)

Meromorphic solutions to difference Painleve equations I and II
by: Zhi-Tao Wen
Published: (2016-09-01)

Boussinesq’s equation for water waves: the soliton resolution conjecture for Sector IV
by: Charlier Christophe, et al.
Published: (2025-01-01)