Integrability aspects and some abundant solutions for a new (4 + 1)-dimensional KdV-like equation

• Published in: International journal of modern physics. B, Condensed matter physics, statistical physics, applied physics Vol. 35; no. 6; p. 2150079
• Main Authors: Han, Peng-Fei, Bao, Taogetusang
• Format: Journal Article
• Language: English
• Published: Singapore World Scientific Publishing Company 10.03.2021; World Scientific Publishing Co. Pte., Ltd
• Subjects: Combinatorial analysis; Conservation laws; Dynamic models; Integral calculus; Korteweg-Devries equation; Nonlinear evolution equations; Polynomials; Solitary waves; (4 + 1)-Dimensional KdV-like equation; infinite conservation laws; high-order lump solutions and their interaction solutions; different types of; Bäcklund transformation; soliton solutions

In this paper, we introduce a new (4 + 1)-dimensional KdV-like equation. By using the Bell Polynomial method, we obtain the bilinear form, bilinear Bäcklund transformation, Lax pair and infinite conservation laws. It is proved that the equation is completely integrable in Lax pair sense. Based on th...