Stability analysis and solutions of (2 + 1)-Kadomtsev–Petviashvili equation by homoclinic technique based on Hirota bilinear form

A search for bilinear equations passing Hirota’s three-soliton condition. I. KdV-type bilinear equations

Jarmo Hietarinta · Journal of Mathematical Physics · 1987 · 275 citations

Natural Sciences, Mathematics, Physics +10

Bäcklund transformations and loop group actions

Chuu-Lian Terng, Karen Uhlenbeck · Communications on Pure and Applied Mathematics · 2000 · 247 citations

Natural Sciences, Mathematics, Physics +12

New extended Kadomtsev–Petviashvili equation: multiple soliton solutions, breather, lump and interaction solutions

Yu‐Lan Ma, Abdul–Majid Wazwaz, Bang‐Qing Li · Nonlinear Dynamics · 2021 · 209 citations

Natural Sciences, Mathematics, Physics +12

Completely resonant collision of lumps and line solitons in the Kadomtsev–Petviashvili I equation

Jiguang Rao, K. W. Chow, Dumitru Mihalache et al. · Studies in Applied Mathematics · 2021 · 88 citations

Natural Sciences, Physics, Differential Equations +16

Nonlinear pulse propagation for novel optical solitons modeled by Fokas system in monomode optical fibers

Sibel Tarla, Karmina K. Ali, Tian-Chuan Sun et al. · Results in Physics · 2022 · 76 citations · Full text

Natural Sciences, Mathematics, Computational Physics +16