Bitao Cheng

905 total citations · 1 hit paper
49 papers, 688 citations indexed

About

Bitao Cheng is a scholar working on Applied Mathematics, Mathematical Physics and Computational Theory and Mathematics. According to data from OpenAlex, Bitao Cheng has authored 49 papers receiving a total of 688 indexed citations (citations by other indexed papers that have themselves been cited), including 39 papers in Applied Mathematics, 24 papers in Mathematical Physics and 23 papers in Computational Theory and Mathematics. Recurrent topics in Bitao Cheng's work include Nonlinear Partial Differential Equations (38 papers), Advanced Mathematical Modeling in Engineering (23 papers) and Advanced Mathematical Physics Problems (22 papers). Bitao Cheng is often cited by papers focused on Nonlinear Partial Differential Equations (38 papers), Advanced Mathematical Modeling in Engineering (23 papers) and Advanced Mathematical Physics Problems (22 papers). Bitao Cheng collaborates with scholars based in China and Romania. Bitao Cheng's co-authors include Xianhua Tang, Xian Wu, Jianhua Chen, Xianjiu Huang, Jun Liu, Zhengde Dai, Wen Zhang, Jian Zhang, Guofa Li and Chuanxi Zhu and has published in prestigious journals such as Physics of Fluids, Journal of Mathematical Analysis and Applications and Chaos Solitons & Fractals.

In The Last Decade

Bitao Cheng

42 papers receiving 633 citations

Hit Papers

align trajectories

What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

Ground state sign-changing solutions for Kirchhoff type problems in bounded domains

2016 200 citations Xianhua Tang, Bitao Cheng Journal of Differential Equations profile →

Peers

Bitao Cheng

AM

CTM

MP

CSE

NA

Wei Shuai China

Zhisu Liu China

Yuxia Guo China

Gaetano Siciliano Brazil

Ryuji Kajikiya Japan

Antonio Azzollini Italy

Jianqing Chen China

Boumediene Abdellaoui Algeria

K. Sreenadh India

Pigong Han China

Wei Shuai China

Bitao Cheng

751 ×1.2

AM

529 ×1.1

CTM

419 ×1.4

MP

175 ×1.2

CSE

41 ×1.6

NA

Citations per year, relative to Bitao Cheng Bitao Cheng (= 1×) peers Wei Shuai

Countries citing papers authored by Bitao Cheng

Since Specialization

Citations

This map shows the geographic impact of Bitao Cheng's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Bitao Cheng with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Bitao Cheng more than expected).

Fields of papers citing papers by Bitao Cheng

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Bitao Cheng. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Bitao Cheng. The network helps show where Bitao Cheng may publish in the future.

Co-authorship network of co-authors of Bitao Cheng

This figure shows the co-authorship network connecting the top 25 collaborators of Bitao Cheng. A scholar is included among the top collaborators of Bitao Cheng based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Bitao Cheng. Bitao Cheng is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

1.

Nadeem, Muhammad Waqas, et al.. (2025). Numerical Investigation of the Time-Fractional Black–Scholes Problem Using the Caputo Fractional Derivative in the Financial Industry. Fractal and Fractional. 9(8). 490–490. 1 indexed citations

2.

Cheng, Bitao, et al.. (2024). The excitation of high-order localized waves in (3+1)-dimensional Kudryashov-Sinelshchikov equation. Physica Scripta. 99(3). 35214–35214. 2 indexed citations

3.

Dai, Zhengde, et al.. (2023). General high-order localized waves and hybrid solutions of the extend (3+1)-dimensional Ito equation. Nonlinear Dynamics. 111(14). 13357–13373. 1 indexed citations

4.

Chen, Jianhua, Xi Wen, Xianjiu Huang, & Bitao Cheng. (2023). Existence and Asymptotic Behaviour for the 2D-Generalized Quasilinear Schrödinger Equations Involving Trudinger–Moser Nonlinearity and Potentials. Journal of Geometric Analysis. 33(9). 2 indexed citations

5.

Chen, Jianhua, Xianjiu Huang, & Bitao Cheng. (2023). Combined Effects of Concave and Convex Nonlinearities for Kirchhoff Type Equations with Steep Potential Well and 1 < p < 2 < q < 4. 18(5). 1037–1066.

6.

Dai, Zhengde, et al.. (2023). Nonlinear superposition between lump soliton and other nonlinear localized waves for the (2+1)-dimensional Korteweg–de Vries–Sawada–Kotera–Ramani equation. Results in Physics. 49. 106516–106516. 1 indexed citations

7.

Li, Guofa, Bitao Cheng, & Yisheng Huang. (2020). Positive solutions for asymptotically 3-linear quasilinear Schrodinger equations. Electronic Journal of Differential Equations. 2020(01-132). 56–56.

8.

Chen, Jianhua, Bitao Cheng, & Xianjiu Huang. (2019). Ground state solutions for a class of quasilinear Schrödinger equations with Choquard type nonlinearity. Applied Mathematics Letters. 102. 106141–106141. 10 indexed citations

9.

Chen, Jianhua, Xianjiu Huang, & Bitao Cheng. (2018). Positive solutions for a class of quasilinear Schrödinger equations with superlinear condition. Applied Mathematics Letters. 87. 165–171. 9 indexed citations

10.

Chen, Jianhua, Xianhua Tang, & Bitao Cheng. (2017). Non-Nehari manifold method for a class of generalized quasilinear Schrödinger equations. Applied Mathematics Letters. 74. 20–26. 25 indexed citations

11.

Cheng, Bitao & Xianhua Tang. (2017). Ground state sign-changing solutions for asymptotically 3-linear Kirchhoff-type problems. Complex Variables and Elliptic Equations. 62(8). 1093–1116. 23 indexed citations

12.

Chen, Jianhua, Xianhua Tang, & Bitao Cheng. (2017). Existence of ground state solutions for quasilinear Schrödinger equations with super-quadratic condition. Applied Mathematics Letters. 79. 27–33. 3 indexed citations

13.

Chen, Jianhua, Xianhua Tang, & Bitao Cheng. (2017). Ground States for a Class of Generalized Quasilinear Schrödinger Equations in $${\mathbb {R}}^N$$ R N. Mediterranean Journal of Mathematics. 14(5). 6 indexed citations

14.

Cheng, Bitao & Xianhua Tang. (2016). Infinitely many large energy solutions for Schrödinger-Kirchhoff type problem in RN. The Journal of Nonlinear Sciences and Applications. 9(2). 652–660. 6 indexed citations

15.

Cheng, Bitao. (2016). Least energy sign-changing solutions for a class of nonlocal Kirchhoff-type problems. SpringerPlus. 5(1). 1256–1256. 3 indexed citations

16.

Tang, Xianhua & Bitao Cheng. (2016). Ground state sign-changing solutions for Kirchhoff type problems in bounded domains. Journal of Differential Equations. 261(4). 2384–2402. 200 indexed citations breakdown →

17.

Cheng, Bitao & Xianhua Tang. (2016). New Existence of Solutions for the Fractional p-Laplacian Equations with Sign-Changing Potential and Nonlinearity. Mediterranean Journal of Mathematics. 13(5). 3373–3387. 10 indexed citations

18.

Cheng, Bitao. (2015). A New Result on Multiplicity of Nontrivial Solutions for the Nonhomogenous Schrödinger–Kirchhoff Type Problem in R N. Mediterranean Journal of Mathematics. 13(3). 1099–1116. 5 indexed citations

19.

Cheng, Bitao. (2012). New existence and multiplicity of nontrivial solutions for nonlocal elliptic Kirchhoff type problems. Journal of Mathematical Analysis and Applications. 394(2). 488–495. 51 indexed citations

20.

Cheng, Bitao & Xian Wu. (2009). Existence results of positive solutions of Kirchhoff type problems. Nonlinear Analysis. 71(10). 4883–4892. 125 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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