Exploring Multiwave Solutions to the Integrable Combined pKP-BKP Equation in (3+1)-Dimensions

Under consideration in the current paper is a new combined Painleve integrable equation in (3+1)-dimensions, namely the potential Kadomtsev-Petviashvili equation incorporating the B-type Kadomtsev-Petviashvili equation (pKP-BKP equation). Maple symbolic calculations are made to present abundant multiwave solutions, which cover a breather-kink wave interacting with one-kink wave, and a breather-kink wave interacting with two-kink waves, as well as a breather-kink wave interacting with three-kink waves. Particularly, the dynamic and structural characteristics of some derived solutions are illustrated through some vivid 3D graphics.

Authors

Publication Details

Journal
Romanian Journal of Physics
Published
2024-09-15
DOI
https://doi.org/10.59277/romjphys.2024.69.109
Citations
5
Primary Topic
Nonlinear Waves and Solitons
Type
article
Field-Weighted Citation Impact
1.41

Funders

Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Exploring Multiwave Solutions to the Integrable Combined pKP-BKP Equation in (3+1)-Dimensions

Zhou-Zheng Kang
5 citations
Romanian Journal of Physics
Nonlinear Waves and Solitons
1.41
article

Exploring Multiwave Solutions to the Integrable Combined pKP-BKP Equation in (3+1)-Dimensions

Zhou-Zheng Kang
article en
5 citations

Abstract

Under consideration in the current paper is a new combined Painleve integrable equation in (3+1)-dimensions, namely the potential Kadomtsev-Petviashvili equation incorporating the B-type Kadomtsev-Petviashvili equation (pKP-BKP equation). Maple symbolic calculations are made to present abundant multiwave solutions, which cover a breather-kink wave interacting with one-kink wave, and a breather-kink wave interacting with two-kink waves, as well as a breather-kink wave interacting with three-kink waves. Particularly, the dynamic and structural characteristics of some derived solutions are illustrated through some vivid 3D graphics.

Romanian Journal of PhysicsVol. 69(7-8)
Wannan Medical College
Openalex Percentile: Top 19%
Nonlinear Waves and Solitons
1.41
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

Exploring Multiwave Solutions to the Integrable Combined pKP-BKP Equation in (3+1)-Dimensions — Zhou-Zheng Kang · Romanian Journal of Physics (2024) | TGRS Research Map | TGRS