From Longman Dictionary of Contemporary Englishsoldier on phrasal verbespecially British EnglishCONTINUE/NOT STOP to continue working in spite of difficulties We’ll just have to soldier on without him. → soldier→ See Verb table
Examples from the Corpus
soldier on• Charles was asked to soldier on as Sayle's assistant.• The team were all feeling seasick but they soldiered on valiantly. 