most citedVariable-coefficient symbolic computation approach for finding multiple rogue wave solutions of nonlinear system with variable coefficients

62 citations · 176 across the 7 of their papers we have counts for

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7 papers

nlin.SI2022

Interaction phenomenon for variable coefficient Kadomtsev-Petviashvili equation by utilizing variable coefficient bilinear neural network method

Jian-Guo Liu, Wen-Hui Zhu

In this paper, a variable coefficient Bilinear neural network method is proposed to deal with the analytical solutions of variable coefficient nonlinear partial differential equati…

nlin.PS2019★ 62 cited

Variable-coefficient symbolic computation approach for finding multiple rogue wave solutions of nonlinear system with variable coefficients

Jian-Guo Liu, Wen-Hui Zhu, Yan He

In this paper, a variable-coefficient symbolic computation approach is proposed to solve the multiple rogue wave solutions of nonlinear equation with variable coefficients. As an a…

math-ph2019★ 28 cited

Multiple rogue wave solutions for (2+1)-dimensional Boussinesq equation

Jian-Guo Liu, Wen-Hui Zhu

In this paper, a modified symbolic computation approach is proposed. The multiple rogue wave solutions of a generalized (2+1)-dimensional Boussinesq equation are obtained by using…

nlin.PS2019★ 14 cited

Interaction phenomena between lump and solitary wave of a generalized (3 + 1)-dimensional variable-coefficient nonlinear-wave equation in liquid with gas bubbles

Jian-Guo Liu, Wen-Hui Zhu, Yan He +1

In this paper, a generalized (3 + 1)-dimensional variable-coefficient nonlinear-wave equation is studied in liquid with gas bubbles. Based on the Hirota's bilinear form and symboli…

nlin.SI2019★ 15 cited

Stripe solitons and lump solutions to a generalized (3 + 1)-dimensional B-type Kadomtsev-Petviashvili equation with variable coefficients in fluid dynamics

Wen-Hui Zhu, Jian-Guo Liu

Under investigation is a generalized (3 + 1)-dimensional B-type Kadomtsev-Petviashvili equation with variable coefficients in fluid dynamics. Based on the Hirota's bilinear form an…

nlin.PS2019★ 14 cited

Multiple rogue wave solutions for the generalized (2+1)-dimensional Camassa-Holm-Kadomtsev-Petviashvili equation

Jian-Guo Liu, Huan Zhao

Based on the symbolic computation approach, multiple rogue wave solutions of the generalized (2+1)-dimensional Camassa-Holm-Kadomtsev-Petviashvili equation are studied. As an examp…

nlin.PS2019★ 43 cited

Multi-wave, breather wave and lump solutions of the Boiti-Leon-Manna-Pempinelli equation with variable coefficients

Jian-Guo Liu, Wang-Ping Xiong

In this paper, a variable-coefficient Boiti-Leon-Manna-Pempinelli equation is to be investigated. We obtain abundant multi-wave, breather wave and lump solutions by using the three…