Predictability, fast calculation and simulation for the interaction solutions to the cylindrical Kadomtsev-Petviashvili equation

Framework of extended BKP equations possessing N‐wave solutions in (2+1)‐dimensions

“…There should exist more interesting problems which need to be discussed. We expect to investigate integrable properties 35,36 and high-order lump solutions [37][38][39][40][41][42][43][44] to the presented Hirota bilinear equations in our future works.…”

New traveling wave structures for two higher dimensional nonlinear evolution equations with time-dependent coefficients: Horseshoe-like solitons and multiwave interaction solutions

“…( 14) was first proposed in 1978 and was deduced for internal waves in a stratified medium and for magnetized plasmas with pressure effects and transverse perturbation [26]. Its 1-, 2-, 3solitons, rational wave solutions and interaction solutions between 1-lump and solitons have been reported [27]. In this paper, we calculate higher-order interaction solutions among horseshoe-like solitons, breathers and lump waves for Eq.…”

New rogon waves for the nonautonomous variable coefficients Schrö dinger equation

“…Recently, many new methods have been constructed to obtain new solutions for nonlinear partial differential equations like symmetry groups, tanh method, trial equation method, sin-Gordon equation method, etc. (Chen et al 2019(Chen et al , 2020Hua et al 2019;Liu et al 2019;Mao et al 2019;Xia et al 2020;Xu et al 2020) (El-Sayed et al 2015, 2014, 2021, 2018aEl-Shiekh and Rehab 2018b;El-Shiekh 2017, 2015, 2013El-Shiekh and Gaballah 2020b;Moatimid et al 2013;Moussa et al 2012;El-Shiekh 2010, 2011;Moatimid and El Shikh 2008;Moussa and El Shikh 2006;Chen et al 2021;He et al 2021;Lü and Ma 2016;Xia et al 2020;Yin et al 2020).…”