Nonlinear superposition among lump soliton, stripe solitons and other nonlinear localized waves of the \((2+1)\)-dimensional cpKP-BKP equation

DOI10.1016/j.matcom.2023.01.019MaRDI QIDQ6161958

Yarong Xia, Yali Shen, Xia-Zhi Hao, Yan Li, Ruo-Xia Yao

Publication date: 28 June 2023

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

zbMATH Keywords

nonlinear superposition\((2+1)\)-dimensional combined pKP-BKP equationlump-stripe soliton moleculelump-stripe-breather soliton molecule

Mathematics Subject Classification ID

Dynamical systems and ergodic theory (37-XX) Partial differential equations (35-XX)

Cites Work

• Unnamed Item
• Hirota bilinear equations with linear subspaces of solutions
• Waves that appear from nowhere and disappear without a trace
• Resonant multi-soliton, M-breather, M-lump and hybrid solutions of a combined pKP-BKP equation
• \(M\)-lump and hybrid solutions of a generalized \((2+1)\)-dimensional Hirota-Satsuma-Ito equation
• Plenty of novel interaction structures of soliton molecules and asymmetric solitons to (2 + 1)-dimensional Sawada-Kotera equation
• A new set and new relations of multiple soliton solutions of (2 + 1)-dimensional Sawada-Kotera equation
• \(N\)-soliton solution of a combined pKP-BKP equation
• A new class of nonlinear superposition between lump waves and other waves for Kadomtsev-Petviashvili I equation
• Nonlocal integrable mKdV equations by two nonlocal reductions and their soliton solutions
• Linear superposition in the general heavenly equation
• \(P T\)-symmetric nonlocal Davey-Stewartson I equation: general lump-soliton solutions on a background of periodic line waves
• Multi-soliton solution to the two-component Hunter-Saxton equation
• Novel interaction phenomena of localized waves in the generalized (3+1)-dimensional KP equation
• Families of semi-rational solutions to the Kadomtsev-Petviashvili I equation
• Special types of solitons and breather molecules for a (2+1)-dimensional fifth-order KdV equation
• \(P T\)-symmetric nonlocal Davey-Stewartson I equation: soliton solutions with nonzero background
• Diversity of interaction solutions to the \((2+1)\)-dimensional ito equation
• Revisitation of the localized excitations of the (2+1)-dimensional KdV equation
• Solitons and rational solutions of nonlinear evolution equations
• Two-dimensional lumps in nonlinear dispersive systems
• An integrable shallow water equation with peaked solitons
• Three Sources and Three Component Parts of the Concept of Dissipative Solitons
• Decompositions and linear superpositions of B‐type Kadomtsev‐Petviashvili equations