New Bilinear Bäcklund Transformation and Higher Order Rogue Waves with Controllable Center of a Generalized (3+1)-Dimensional Nonlinear Wave Equation<xref rid="ctp_71_2_161fn1" ref-type="fn">*</xref><fn id="ctp_71_2_161fn1"><label>*</label><p>Supported by the National Natural Science Foundation of China (11471004,11501498), Shaanxi Key Research and Development Pro-grams (2018SF..251) and the Research Project at Yuncheng University [XK2012007]</p></fn>

New Bilinear Bäcklund Transformation and Higher Order Rogue Waves with Controllable Center of a Generalized (3+1)-Dimensional Nonlinear Wave Equation**

Supported by the National Natural Science Foundation of China (11471004,11501498), Shaanxi Key Research and Development Pro-grams (2018SF..251) and the Research Project at Yuncheng University [XK2012007]

Shen Ya-Li^{1, 2}, Yao Ruo-Xia^{1, †}, Li Yan¹

The first order rogue wave evolution graph (a) and contour plot (b) for Eq. (41) with α = β = 500, u₀ = 1, h₁ = 1, h₂ = −1, h₃ = 1, h₄ = 1, h₅ = 1, k = 1, ω = 1, b_{0, 1} = 1, c_{0, 1} = 1.