Lump, breather and interaction solutions to the (3+1)-dimensional generalized Camassa-Holm Kadomtsev-Petviashvili equation

DOI10.1016/j.jmaa.2023.127275zbMath1530.35210OpenAlexW4361283644MaRDI QIDQ6110822

Wenxia Chen, Liangping Tang, Lixin Tian

Publication date: 6 July 2023

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2023.127275

zbMATH Keywords

Hirota bilinear methodinteraction solutionslump solution(3+1)-dimensional gCH-KP equation

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) PDEs in connection with fluid mechanics (35Q35) KdV equations (Korteweg-de Vries equations) (35Q53) Solitary waves for incompressible inviscid fluids (76B25) Soliton equations (35Q51) Soliton solutions (35C08)

Cites Work

• Unnamed Item
• The repeated homogeneous balance method and its applications to nonlinear partial differential equations
• Further improved F-expansion and new exact solutions for nonlinear evolution equations
• Riemann-Hilbert approach for the Camassa-Holm equation on the line
• The Hirota's direct method for multiple-soliton solutions for three model equations of shallow water waves
• Homogeneous balance method and chaotic and fractal solutions for the Nizhnik-Novikov-Veselov equation
• Darboux transformation, generalized Darboux transformation and vector breathers for a matrix Lakshmanan-Porsezian-Daniel equation in a Heisenberg ferromagnetic spin chain
• Reduced non-local integrable NLS hierarchies by pairs of local and non-local constraints
• Soliton and breather solutions for a fifth-order modified KdV equation with a nonzero background
• Analysis of Lie symmetries with conservation laws and solutions for the generalized (3 + 1)-dimensional time fractional Camassa-Holm-Kadomtsev-Petviashvili equation
• On breather waves, rogue waves and solitary waves to a generalized (2+1)-dimensional Camassa-Holm-Kadomtsev-Petviashvili equation
• Rogue wave solutions of the vector Lakshmanan-Porsezian-Daniel equation
• Abundant exact solutions and interaction phenomena of the \((2 + 1)\)-dimensional YTSF equation
• Breather and hybrid solutions for a generalized \((3+1)\)-dimensional B-type Kadomtsev-Petviashvili equation for the water waves
• CTE method to the interaction solutions of Boussinesq-Burgers equations
• Lump solutions to the Kadomtsev-Petviashvili equation
• \(F\)-expansion method and its application for finding new exact solutions to the Kudryashov-Sinelshchikov equation
• Sasa-Satsuma type matrix integrable hierarchies and their Riemann-Hilbert problems and soliton solutions
• The Darboux transformation of the derivative nonlinear Schrödinger equation
• Lump, lumpoff, rogue wave, breather wave and periodic lump solutions for a (3+1)-dimensional generalized Kadomtsev–Petviashvili equation in fluid mechanics and plasma physics
• Breather solutions of the cubic Klein–Gordon equation
• Soliton molecules and the CRE method in the extended mKdV equation
• A Riemann–Hilbert approach for the Degasperis–Procesi equation