supported by the National Natural Science Foundation of China(Grant No.12271488)。
The aim of this paper is to study an extended modified Korteweg-de Vries-Calogero-Bogoyavlenskii-Schiff(mKdV-CBS)equation and present its Lax pair with a spectral parameter.Meanwhile,a Miura transformation is explored...
In this paper,the new travelling wave solutions of the(2+1)-dimensional extended Calogero-Bogoyavlenskii-Schiff(ECBS)equationareinvestigated.Themainaimof thisworkisto findthenew exact solutions with the aid of relativ...
supported by Taif University Researchers Supporting Project Number(TURSP-2020/247);funding this work through research group under grant number(RGP.2/121/42)。
This paper studies the analytical and semi-analytic solutions of the generalized Calogero–Bogoyavlenskii–Schiff(CBS)equation.This model describes the(2+1)–dimensional interaction between Riemann-wave propagation al...
We investigate and concentrate on new infinitesimal generators of Lie symmetries for an extended(2+1)-dimensional Calogero-Bogoyavlenskii-Schif(eCBS)equation using the commutator table which results in a system of non...
supported by National Natural Science Foundation of China(No.11471215);Shanghai Natural Science Foundation(No.18ZR142600)。
The nonlocal symmetry is derived for an equation combining the modified Calogero–Bogoyavlenskii–Schiff equation with its negative-order form from the truncated Painlevéexpansion method.The nonlocal symmetries are l...
Supported by the National Natural Science Foundation of China under Grant Nos.11775146 and 11472177;National Science Foundation under Grant No.DMS-1664561
Based on the Hirota bilinear operators and their generalized bilinear derivatives, we formulate two new(2+1)-dimensional nonlinear partial differential equations, which possess lumps. One of the new nonlinear differen...
We present universal construction for the Calogero-Moser system with two types spins interaction of trigonometric potential based on the root system of semi-simple Lie algebra. In this formalism, we successfully build...
We propose the exact solution of the equation in separated variable which appears in the process of constructing solutions to the quantum Calogero-Moser three-particle problem with elliptic two-particle potential . Th...