In this study,we investigate the(2+1)-dimensional Korteweg-De Vries(KdV)equation with the extension of time-dependent coefficients.A symbolic computational method,the simplified Hirota’s method,and a long-wave method...In this study,we investigate the(2+1)-dimensional Korteweg-De Vries(KdV)equation with the extension of time-dependent coefficients.A symbolic computational method,the simplified Hirota’s method,and a long-wave method are utilized to create various exact solutions to the suggested equation.The symbolic computational method is applied to create the Lump solutions and periodic lump waves.Hirota’s method and a long-wave method are implemented to explore single-,double-and triple-M-lump waves,and interaction physical phenomena such as an interaction of single-M-lump with one-,twosoliton solutions,as well as a collision of double-M-lump with single-soliton waves.Furthermore,the simplified Hirota’s method is employed to explore complex multi-soliton solutions.To realize dynamics,the gained solutions are drawn via utilizing different arbitrary variable coefficients.展开更多
文摘In this study,we investigate the(2+1)-dimensional Korteweg-De Vries(KdV)equation with the extension of time-dependent coefficients.A symbolic computational method,the simplified Hirota’s method,and a long-wave method are utilized to create various exact solutions to the suggested equation.The symbolic computational method is applied to create the Lump solutions and periodic lump waves.Hirota’s method and a long-wave method are implemented to explore single-,double-and triple-M-lump waves,and interaction physical phenomena such as an interaction of single-M-lump with one-,twosoliton solutions,as well as a collision of double-M-lump with single-soliton waves.Furthermore,the simplified Hirota’s method is employed to explore complex multi-soliton solutions.To realize dynamics,the gained solutions are drawn via utilizing different arbitrary variable coefficients.
