{"corpus_id":8923532,"paper_sha":"a3809846246a26dc0d47556c215bba8a47dccfb7","doi":"10.1088/0305-4470/30/23/015","arxiv_id":"hep-th/9705224","pmid":null,"pmcid":null,"mag_id":3101201079,"dblp_id":null,"acl_id":null,"title":"Soliton stability in systems of two real scalar fields","year":1997,"publication_date":"1997-05-28","venue":"","journal":{"name":"Journal of Physics A","pages":"8157-8166","volume":"30"},"journal_issn":null,"journal_title":null,"publication_types":[],"pubmed_pub_types":null,"s2_fields_of_study":["Mathematics","Physics"],"reference_count":12,"citation_count":85,"influential_citation_count":0,"is_open_access":true,"arxiv_categories":["hep-th"],"arxiv_license":null,"arxiv_journal_ref":"J.Phys.A30:8157-8166,1997","mesh_headings":null,"chemicals":null,"comments_corrections":null,"source_flags":1,"s2_open_access_pdf_url":"https://arxiv.org/pdf/hep-th/9705224","s2_open_access_landing_url":"https://www.semanticscholar.org/paper/a3809846246a26dc0d47556c215bba8a47dccfb7","s2_open_access_license":null,"s2_open_access_status":"GREEN","pmc_open_access_pdf_url":null,"pmc_open_access_landing_url":null,"pmc_open_access_license":null,"pmc_open_access_status":null,"unpaywall_open_access_pdf_url":null,"unpaywall_open_access_landing_url":null,"unpaywall_open_access_license":null,"unpaywall_open_access_status":null,"abstract":"In this paper we consider a class of systems of two coupled real scalar fields in bidimensional spacetime, the main motivation being the study of the classical or linear stability of soliton solutions. First, we present the class of systems and comment on the topological profile of soliton solutions one can find from the first-order equations that solve the equations of motion. We then follow the standard approach to classical stability to introduce the main steps one needs to obtain the spectra of Schrodinger operators that appear in this class of systems. We consider a specific system, from which we illustrate the general calculations and present some analytical results. We also consider another, more general, system and present an investigation that introduces new results and offers a comparison with former investigations.","claims":[{"public_id":"cl_4677d9f31851d460270d598810a91ea3","status":"active","text":"A class of coupled real scalar-field systems in bidimensional spacetime is formulated to study classical and linear soliton stability.","confidence":0.95,"contributors":[{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous (12632b8b5f)","roles":["extraction"],"url":"https://sah.borca.ai/u/12632b8b5f"}],"url":"https://sah.borca.ai/claims/cl_4677d9f31851d460270d598810a91ea3"},{"public_id":"cl_458a71d2c2220b5e134d94be731ebc74","status":"active","text":"A more general system introduces new results and enables comparison with earlier investigations.","confidence":0.87,"contributors":[{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous (12632b8b5f)","roles":["extraction"],"url":"https://sah.borca.ai/u/12632b8b5f"}],"url":"https://sah.borca.ai/claims/cl_458a71d2c2220b5e134d94be731ebc74"},{"public_id":"cl_e9aa1bba6d843da15f9bf4c1042eb67e","status":"active","text":"A specific system yields illustrative calculations and analytical results.","confidence":0.82,"contributors":[{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous (12632b8b5f)","roles":["extraction"],"url":"https://sah.borca.ai/u/12632b8b5f"}],"url":"https://sah.borca.ai/claims/cl_e9aa1bba6d843da15f9bf4c1042eb67e"},{"public_id":"cl_5bfb97a6f881ae7b2c3edbcffc3a03c6","status":"active","text":"A standard classical-stability procedure is used to derive the spectra of Schrödinger operators arising in this class of systems.","confidence":0.9,"contributors":[{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous (12632b8b5f)","roles":["extraction"],"url":"https://sah.borca.ai/u/12632b8b5f"}],"url":"https://sah.borca.ai/claims/cl_5bfb97a6f881ae7b2c3edbcffc3a03c6"},{"public_id":"cl_694509c74cdf66269b96d98556c63eba","status":"active","text":"The topological profiles of soliton solutions are characterized using first-order equations that solve the equations of motion.","confidence":0.91,"contributors":[{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous (12632b8b5f)","roles":["extraction"],"url":"https://sah.borca.ai/u/12632b8b5f"}],"url":"https://sah.borca.ai/claims/cl_694509c74cdf66269b96d98556c63eba"}],"concepts":[{"public_id":"co_0035a67e8fadea034ecb5831d8867249","status":"active","name":"more general system","description":"A broader two-field model used to extend the investigation beyond the specific example.","types":["model"],"aliases":[],"contributors":[{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous (12632b8b5f)","roles":["extraction"],"url":"https://sah.borca.ai/u/12632b8b5f"}],"url":"https://sah.borca.ai/concepts/co_0035a67e8fadea034ecb5831d8867249"},{"public_id":"co_0c4763151290c65c2cf3f3f4286e988d","status":"active","name":"spectra","description":"The set of eigenvalues associated with the operators used in the stability analysis.","types":["mathematical object"],"aliases":["spectral results"],"contributors":[{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous (12632b8b5f)","roles":["extraction"],"url":"https://sah.borca.ai/u/12632b8b5f"}],"url":"https://sah.borca.ai/concepts/co_0c4763151290c65c2cf3f3f4286e988d"},{"public_id":"co_1ee8c631fd9f0eed8afd7bcb638e265d","status":"active","name":"new results","description":"Results obtained in the more general system that are presented as novel in the abstract.","types":["result"],"aliases":[],"contributors":[{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous (12632b8b5f)","roles":["extraction"],"url":"https://sah.borca.ai/u/12632b8b5f"}],"url":"https://sah.borca.ai/concepts/co_1ee8c631fd9f0eed8afd7bcb638e265d"},{"public_id":"co_411ed3c0e26d74a500fcc70c99da1217","status":"active","name":"analytical results","description":"Results derived by direct mathematical calculation for the chosen system.","types":["result"],"aliases":[],"contributors":[{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous (12632b8b5f)","roles":["extraction"],"url":"https://sah.borca.ai/u/12632b8b5f"}],"url":"https://sah.borca.ai/concepts/co_411ed3c0e26d74a500fcc70c99da1217"},{"public_id":"co_44e6e584c45a18f03a32e927f377c6bc","status":"active","name":"first-order equations","description":"Lower-order differential equations whose solutions satisfy the field equations in the considered model.","types":["equation"],"aliases":[],"contributors":[{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous (12632b8b5f)","roles":["extraction"],"url":"https://sah.borca.ai/u/12632b8b5f"}],"url":"https://sah.borca.ai/concepts/co_44e6e584c45a18f03a32e927f377c6bc"},{"public_id":"co_46d074101fc32077657bad9942737422","status":"active","name":"former investigations","description":"Previously published studies used here for comparison.","types":["prior work"],"aliases":[],"contributors":[{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous (12632b8b5f)","roles":["extraction"],"url":"https://sah.borca.ai/u/12632b8b5f"}],"url":"https://sah.borca.ai/concepts/co_46d074101fc32077657bad9942737422"},{"public_id":"co_70759b9fabd4e704fca44baeaec6ee92","status":"active","name":"Schrödinger operators","description":"Linear operators of Schrödinger type that arise in the perturbation analysis of the system.","types":["operator"],"aliases":["Schrodinger operators"],"contributors":[{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous (12632b8b5f)","roles":["extraction"],"url":"https://sah.borca.ai/u/12632b8b5f"}],"url":"https://sah.borca.ai/concepts/co_70759b9fabd4e704fca44baeaec6ee92"},{"public_id":"co_85a2c8f80b54413b9cbbcc4bfaa0d88d","status":"active","name":"soliton solutions","description":"Localized, non-dispersive solutions of the field equations with soliton-like behavior.","types":["solution"],"aliases":["solitons"],"contributors":[{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous (12632b8b5f)","roles":["extraction"],"url":"https://sah.borca.ai/u/12632b8b5f"}],"url":"https://sah.borca.ai/concepts/co_85a2c8f80b54413b9cbbcc4bfaa0d88d"},{"public_id":"co_8624e223086b51bab9955cac7303dbcc","status":"active","name":"specific system","description":"A particular two-field model chosen to illustrate the general calculations.","types":["model"],"aliases":[],"contributors":[{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous (12632b8b5f)","roles":["extraction"],"url":"https://sah.borca.ai/u/12632b8b5f"}],"url":"https://sah.borca.ai/concepts/co_8624e223086b51bab9955cac7303dbcc"},{"public_id":"co_ab8e806d6f0394c0422dd2bb18c3d3a6","status":"active","name":"classical stability","description":"Stability analysis performed at the classical level by studying small perturbations around solutions.","types":["analysis approach"],"aliases":[],"contributors":[{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous (12632b8b5f)","roles":["extraction"],"url":"https://sah.borca.ai/u/12632b8b5f"}],"url":"https://sah.borca.ai/concepts/co_ab8e806d6f0394c0422dd2bb18c3d3a6"},{"public_id":"co_afcb447d276a436bf5c887f0df4f11eb","status":"active","name":"soliton stability","description":"The persistence or instability of soliton solutions under perturbations.","types":["property"],"aliases":["stability of soliton solutions"],"contributors":[{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous (12632b8b5f)","roles":["extraction"],"url":"https://sah.borca.ai/u/12632b8b5f"}],"url":"https://sah.borca.ai/concepts/co_afcb447d276a436bf5c887f0df4f11eb"},{"public_id":"co_c3df0024921b0a7fa098d7ec7beb7508","status":"active","name":"coupled real scalar fields","description":"A system composed of two interacting scalar fields with real-valued components.","types":["physical system"],"aliases":["two real scalar fields"],"contributors":[{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous (12632b8b5f)","roles":["extraction"],"url":"https://sah.borca.ai/u/12632b8b5f"}],"url":"https://sah.borca.ai/concepts/co_c3df0024921b0a7fa098d7ec7beb7508"},{"public_id":"co_cd0ce8438366140adf000a0d11635764","status":"active","name":"topological profile","description":"The topological structure or field configuration associated with a soliton solution.","types":["property"],"aliases":[],"contributors":[{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous (12632b8b5f)","roles":["extraction"],"url":"https://sah.borca.ai/u/12632b8b5f"}],"url":"https://sah.borca.ai/concepts/co_cd0ce8438366140adf000a0d11635764"},{"public_id":"co_d8ac847b484fb5475ca65b3192777499","status":"active","name":"bidimensional spacetime","description":"A two-dimensional spacetime setting used for the field-theoretic models.","types":["spacetime"],"aliases":["2D spacetime"],"contributors":[{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous (12632b8b5f)","roles":["extraction"],"url":"https://sah.borca.ai/u/12632b8b5f"}],"url":"https://sah.borca.ai/concepts/co_d8ac847b484fb5475ca65b3192777499"}],"external_ids":{"DOI":"10.1088/0305-4470/30/23/015","ArXiv":"hep-th/9705224","PubMed":null,"PubMedCentral":null,"MAG":3101201079,"DBLP":null,"ACL":null},"open_access":{"is_open_access":true,"pdf_url":"https://arxiv.org/pdf/hep-th/9705224","landing_url":"https://www.semanticscholar.org/paper/a3809846246a26dc0d47556c215bba8a47dccfb7","source":"semantic_scholar","pdf_url_source":"semantic_scholar_open_access_pdf","license":null,"status":"GREEN","reason":null},"reference_availability":{"status":"available","references_indexed":true,"full_text_available":true,"full_text_source":"arxiv","count_basis":"semantic_scholar_metadata","extraction_status":"not_applicable","reason":null},"source":{"provider":"episteme2","base_corpus":"semantic_scholar_dump","freshness_mode":"unknown","basis":["semantic_scholar_metadata","postgres_metadata"],"limits":["paper metadata is based on indexed upstream scholarly datasets","claims and concepts are available only for extracted papers","absence of claims or concepts means no extracted graph data is available in this response"],"status":"available","degraded":false,"degraded_reasons":[],"diagnostics":{"status":"available","degraded":false,"degraded_reasons":[],"metadata_status":"available","graph_status":"available","abstract_status":"available"},"source_flags":1},"paper_id":634205,"paper_uid":"eaad73f3-fba9-4cfd-8ae3-f82817f48326","canonical_identity":{"paper_id":634205,"paper_uid":"eaad73f3-fba9-4cfd-8ae3-f82817f48326","identity_status":"available","lookup_basis":"semantic_scholar_external_id","compatibility_path":"corpus_id"},"url":"https://sah.borca.ai/papers/8923532"}