Cisplatin, Docetaxel, and Nintedanib Before Surgery in Treating Patients With Previously Untreated Stage IB-IIIA Non-small Cell Lung Cancer

Inclusion Criteria: * Histologically or cytologically confirmed non-small cell lung cancer; patients with a suspected lung cancer are eligible, but pathology must be confirmed prior to initiating treatment on study; neuroendocrine carcinomas are not eligible; carcinomas with neuroendocrine differentiation are eligible * Stage IB (with a primary tumor \>= 4 cm), IIA, IIB, or IIIA (according to American Joint Committee on Cancer \[AJCC\] 7th edition); patients with stage IIIA must not have more than one mediastinal lymph node station involved by tumor * All patients must have lymph node evaluation of contralateral stations 2 and/or 4 to exclude N3 disease * The patient must be a suitable candidate for surgery, in the opinion of the treating physician * Eastern Cooperative Oncology Group (ECOG) performance status score 0-1 * Signed and dated written informed consent prior to admission to the study in accordance with International Conference on Harmonization of Technical Requirements for Registration of Pharmaceuticals for Human Use (ICH)-Good Clinical Practice (GCP) guidelines and to the local legislation Exclusion Criteria: * Prior systemic therapy or radiation therapy for treatment of the current lung cancer * Known hypersensitivity to the trial drugs or to their excipients * Centrally located tumors with radiographic evidence (CT or magnetic resonance imaging \[MRI\]) of local invasion of major blood vessels * Major injuries within the past 10 days prior to start of study treatment with incomplete wound healing * History of clinically significant hemorrhagic or thromboembolic event in the past 6 months * Known inherited predisposition to bleeding or thrombosis * Significant cardiovascular diseases (i.e. uncontrolled hypertension, unstable angina, history of infarction within the past 12 months prior to start of study treatment, congestive heart failure \> New York Heart Association \[NYHA\] II, serious cardiac arrhythmia, pericardial effusion) * Creatinine \> 1.5 x the upper limit of normal; patients with creatinine \> 1.5 x the upper limit of normal who have creatinine clearance \>= 60 cc/min (calculated using the Cockcroft and Gault equation) are eligible * Total bilirubin \> institutional upper limit of normal or * Aspartate aminotransferase (AST) \> 1.5 x institutional upper limit of normal * International normalized ratio (INR) \> 2 * Prothrombin time (PT) and partial thromboplastin time (PTT) \> 50% of deviation of institutional upper limit of normal (ULN) * Absolute neutrophil count (ANC) \< 1500/ml, and/or * Platelets \< 100000/ml * Prior malignancy requiring systemic therapy or radiation therapy within 1 year of randomization * Active serious infections in particular if requiring systemic antibiotic or antimicrobial therapy * Known disease or history of active or chronic hepatitis C and/or B infection * Gastrointestinal disorders or abnormalities that would interfere with absorption of the study drug * Serious illness or concomitant non-oncological disease such as neurologic, psychiatric, infectious disease or laboratory abnormality that may increase the risk associated with study participation or study drug administration and in the judgment of the investigator would make the patient inappropriate for entry into the study * Patients who are sexually active, with preserved reproductive capacity, and unwilling to use a medically acceptable method of contraception (e.g. such as implants, injectables, combined oral contraceptives, some intrauterine devices or vasectomized partner for participating females, condoms for participating males) during the trial and for at least three months after end of active therapy * Pregnancy or breast feeding * Psychological, familial, sociological or geographical factors potentially hampering compliance with the study protocol and follow-up schedule